{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Sebastian Raschka](http://www.sebastianraschka.com)\n",
    "\n",
    "[back](https://github.com/rasbt/matplotlib-gallery) to the `matplotlib-gallery` at [https://github.com/rasbt/matplotlib-gallery](https://github.com/rasbt/matplotlib-gallery)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext watermark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Last updated: 16/08/2014 \n",
      "\n",
      "CPython 3.4.1\n",
      "IPython 2.0.0\n",
      "\n",
      "matplotlib 1.3.1\n",
      "numpy 1.8.2\n"
     ]
    }
   ],
   "source": [
    "%watermark -u -v -d -p matplotlib,numpy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"1.5em\">[More info](http://nbviewer.ipython.org/github/rasbt/python_reference/blob/master/ipython_magic/watermark.ipynb) about the `%watermark` extension</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Special plots in matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sections"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- [Basic pie chart](#Basic-pie-chart)\n",
    "- [Basic triangulation](#Basic-triangulation)\n",
    "- [xkcd-style plots](#xkcd-style-plots)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Basic pie chart"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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/IwX1iE6dO4ylpQ03r92lThM5vSeE+GfO1fxJSU4iMTFR7SjljhTUI0hNSyE2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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106500390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "plt.pie(\n",
    "    (10,5),\n",
    "    labels=('spam','ham'),\n",
    "    shadow=True,\n",
    "    colors=('yellowgreen', 'lightskyblue'),\n",
    "    explode=(0,0.15), # space between slices \n",
    "    startangle=90,    # rotate conter-clockwise by 90 degrees\n",
    "    autopct='%1.1f%%',# display fraction as percentage\n",
    "    )\n",
    "plt.legend(fancybox=True)\n",
    "plt.axis('equal')     # plot pyplot as circle\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Basic triangulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sBM6fm5tLOjo65O3tLUKvqsbJyYnWrVtX5+XUJdHR0bR582bq2rUrKSsr07x58+jhw4eM\nwDM0SNCYRH3mzJl09OhRrm3Lli2jKVOm8G0rPT2dfv/9d5KTkyN7e3sKDw8XlZu1kpWVRe3atRPo\nJS6bzSZ7e3uaPXt2HXhWmaSkJJKVlRXrk40oiY2NpS1btlD37t1JUVGR5syZQ35+fnUWwmJg4Bc0\nJlE/cOAAzZkzh2tbUVER6evrC1xrzc3NpR07dpCKigrZ2NjQo0ePROFqrXTp0oWCg4P5zufm5kad\nOnWioqKiOvCqalasWEGzZs2qt/Lqi3fv3tH27dupZ8+epKCgQLNmzaJ79+4xAs8gVtCYRD0wMJD6\n9OlTafvjx49JWVlZqHbaxcXF9Ndff5G2tjYNGDCAbt68WadN5BYuXEg7duzgK090dDTJy8tTZGRk\nHXlVNZmZmSQvL//DDcvAD+/fv6edO3dSr169SF5enn799Ve6fft2g2sSy/Dzg8Yk6jk5OdSmTZsq\nY6HLly+nSZMmCV1GeXk5nTt3jjp37kzdunWj8+fP10ns1cvLi0aOHMlz+uLiYuratWul8FN9sXPn\nTho7dqxYyq5vEhMTaffu3WRmZkZycnI0c+ZMunnzZoNu3snw84DGJOpERDo6OlXWGIuKisjAwIC8\nvLxEUg6bzSZfX1/q27cv6erq0rFjx6ikpEQktom+xvSlpKR4vmEsXLiQJkyYILYONsXFxaShoVFv\n4amGQlJSEu3bt4/69u1LsrKyNH36dLp+/bpIrwUGhu9BYxP18ePHV9vT8cmTJ0KHYaoiMDCQRowY\nQaqqqrRr1y7Ky8sTiV1DQ0OeRlS8evUqaWpqUlZWlkjKFRR3d3fq27dvo+25mZycTAcOHKD+/fuT\njIwMTZs2ja5evSqSjmQMDN9AYxil8Xu6deuGV69eVbnP3NwcU6dOxfz580Va5oABA3Dz5k3cuHED\noaGh0NHRwYYNG/Dlyxeh7FpYWCAgIKDGNCkpKfjtt99w7tw5yMjICFWesEydOhX5+fm4evWqWP0Q\nFx06dMCiRYsQFBSEyMhI9O7dG3v27IGKigocHR1x5coVFBcXi9tNBoY6o07uYr6+vjRs2LBq9xcV\nFZGhoSFdvHixTson+tpqYtasWSQjI0OLFy+mDx8+CGTHw8Ojxjh1RUUFWVhYCN1RSZTcvHmTDA0N\nmRYi35GamkpHjhyhQYMGkZSUFE2ZMoUuXbrUYIamYPixQGMLvyQnJ5OCgkKNIYCQkBBSUlKi9PT0\nOvHhGx8/fqQVK1aQrKysQJN2pKSkkJycXLXd2Ddt2kSWlpYNqpMMm82mQYMG0bFjx8TtSoMkLS2N\n/vrrLxoyZAhJSUnRpEmTyMvLi9MTmoGhNtDYRJ3NZpOcnFytnWFWrVpFdnZ2deLDf8nMzKQ//viD\nFBQUaPz48fT8+XOe8+rq6lJERESl7YGBgaSkpEQpKSmidFUkPH/+nFRVVRmhqoWMjAz6+++/aejQ\noSQpKUl2dnZ0/vx5ys/PF7drDA0YNDZRJyIaMmQI3bx5s8Y0xcXFZGRkRBcuXKgzP/7Lt0k71NXV\neZ60Y+bMmXT48GGubZmZmaShoUG+vr516a5QTJ48uUGFhRo6X758oRMnTpC1tTVJSkrSuHHjyMPD\nQ2Qv3Rl+HtAYRX3FihW0devWWtM9ffq0XsIw/4WfSTvc3d252tez2WwaN24cLV68uL7cFYi4uDiS\nk5MTeUujxkBmZia5ubnRyJEjSVJSksaMGUNnz579IQdOYxA9aIyifvbsWZo4cSJPaV1cXMTWvrui\nooIuXbpEpqam1U7a8f79e1JSUuL49+eff1L37t1/iHbQCxcupIULF4rbjR+arKwsOnXqFI0aNYra\nt29Ptra2dOrUqQYxRDSDeEBjFPXIyEjS09PjKW1xcTEZGxvT+fPn68yf2mCz2XTv3r0qJ+1gs9mk\nrq5OMTEx9Pr1a5KXl6fY2Fix+coP6enpJCsrS3FxceJ25acgJyeHzpw5Q6NHj6b27duTjY0N/fPP\nP2Lvn8BQv6Axinp5eTlJSEjwHI/8FoZJS0urM5945enTp5Um7Zg6dSrt37+fjIyMyN3dXdwu8sUf\nf/xBkydPFrcbPx25ubl07tw5Gjt2LLVv356sra3p5MmTlJmZKW7XGOoYNEZRJ/o6e9Djx495Tr96\n9WoaN25cg+kN+f2kHbKysgSAHB0dG4x/vFJQUEAqKir07Nkzcbvy05KXl0eenp40YcIEkpSUpGHD\nhtHx48f5mkeA4ccBjVXUf/vtt0qtRmqipKSEjI2NycPDow694g82m00nTpz49iMSAFJUVKQjR45Q\neHh4g2qfXhNHjx6lQYMG/XA3pB+R/Px8unjxIg0bNoxzzfz+++/idotBhEBAUW8iOu2uln/9qxv+\n/PNPhIWF4fjx4zznef78OUaNGoXw8HAoKyvXmW+1wWKx4OPjg+3bt6OoqAguLi5YtWoVVFRUEB4e\nzpV28ODBMDc3h5mZGczMzCAvLy8mr6unoqICJiYm2L9/P6ytrcXtzk9BQUEBEhMTkZiYiISEBCQk\nJHC+JyYmIicnhyu9i4sLtm3bhiZN6uOvzVCX/Psb8v1DiuKXdwNgAyADQOcq9tepqD958gSLFy/G\n8+fP+cq3du1aREVF4fLly/X+BygtLcWZM2ewc+dOyMrKYs2aNbC1tUXTpk3xxx9/IDMzEwcOHEBU\nVBT++ecfHDhwAOXl5ejQoQM6dOiAqKgoKCoqwszMjCP0Xbp0QfPmzev1OKrCx8cHGzduxMuXL9Gs\nWTNxu9PgKSkpQVJSUiWx/ibgBQUF0NLSgra2NtenhIQEvLy84OvrC0tLS/j4+ODZs2eYO3cuevfu\njcOHD6Np0x92aCcGiFfUBwAoAHAaYhD1/Px8KCkpIS8vjy9RKy0thampKdasWQMHB4c68+978vLy\n8Pfff2Pfvn3o0qULVq9ejYEDB3LdVKKjozF06FB8+PCB86csLy/HzZs34ebmhsDAQIwZMwZ9+/ZF\n06ZNERISguDgYCQlJaFnz55cQi+OpxAiQv/+/TF79mw4OTnVe/kNjfLyciQnJ1dZy05ISEBmZibU\n1dW5RPv770pKSlzXR1paGnbu3Al3d3c4OTlh1apVWLJkCYyMjLBp0ybk5eXB1tYWGhoa+OeffxrE\njZ5BMMQp6gCgBcAXYhB1ANDX14ePjw86derEV74XL15g5MiRdR6GycjIwMGDB3H06FEMHToULi4u\n6NatW7XpTUxM8Pfff6Nv376V9qWlpeHMmTNwc3MDm82Gs7MznJycICEhgefPnyM4OBghISEICQmB\nlJQUJ1xjbm6Obt26oWXLlnV2nN94/PgxHBwcEBsbi9atW9d5eeKExWLh48ePVdayExMTkZaWBhUV\nlSpr29ra2lBVVa3yiaawsBDp6elIT0/H+/fvceXKFURERCAjIwNOTk5wcXGBiooKHjx4AGdnZ0RF\nRaFNmzYAgKKiItjZ2aFly5Y4f/78T/8b/Kw0alGfPHkybG1tMXXqVL7zrlu3DpGRkfDx8RF5GCYh\nIQF79uyBh4cHpkyZguXLl0NXV7fWfBs3bkRubi727dtXbRoiQkhICNzc3ODt7Y3+/fvD2dkZNjY2\naNmyJdhsNt69e8epyYeEhODdu3fo1q0bl9B36NBBlIfMYezYsejfvz9WrFhRJ/brCyJCWlpatTHt\n5ORkyMvLV1nL1tLSgrq6Olq0aAHgq9imp6cjLS2NI9hVfY+Pj6/Wn0+fPkFFRQXA16eA7t27Y9Om\nTZgwYQJXurKyMkydOhVZWVm4cuUK2rVrV3cniaFOaNCi7urqylmxtLSEpaWliIr9yrZt25CZmYnd\nu3fznfdbGGb16tVwdHQUiT+vX7/Gzp07cevWLcyaNQuLFy/m60ngzZs3sLa2RlJSEk9x0cLCQnh7\ne8PNzQ0xMTGYOnUqZs6cCRMTE650+fn5CA0N5Yh8cHAwWrVqxfUCtmfPniKp2UVHR2PgwIF4+/at\n2Md/rwkiQmZmZrUx7aSkJLRv377KWra2tjYUFBSQk5NTo1h/Wy8vL4eysjKUlJSgpKTE+d66dWvE\nxcUhNjYWMTExyM7OxsCBA2FhYQELCwuYm5tj69atKC8vx44dOzi+HzhwAL6+vrh3716VFRIWi4VZ\ns2YhOjoaN27caNC/AwPg7+8Pf39/zvqmTZuAhirqdV1Tv3XrFvbs2YP79+8LlP9bGObVq1ecWpAg\nBAUFYfv27Xj58iWWLFmCOXPmQEpKSiBbxsbGcHNzg5mZGV/53r17B3d3d5w6dQpqampwdnbGlClT\nqvSDiPD+/Xuu2nx0dDQ6derEJfRaWloCPcXMmjUL0tLS2LlzJ995RUlubm6VoZFvn82bN+eqZSsr\nK0NCQgJt2rRB69atUVBQUK1gl5WVVRLp6r5LSkqiSZMmyMrKQlBQEAICAhAQEIC3b9+id+/eHBHv\n06dPpRursbEx/vnnH/Tp0wcAkJ6ejk6dOiEwMBDGxsbVHjubzcby5cvx8OFD3L17F4qKinV6rhlE\nR4Ouqde1qKempqJz5874/PmzwCGU9evX4/Xr17hy5QpfNthsNm7evInt27cjNTUVq1atwvTp04Wu\n7bq6uqKgoAB79uwRKD+LxcLdu3fh5uaGe/fuwdbWFs7OzrCwsKix9l9UVIQXL15whD44OBhExPUC\n1tTUFG3btq3Vh0+fPqFz584ICwuDhoaGQMfBC4WFhdXGtBMSElBeXg4VFRWOUEtISHCJdklJCZdg\nl5aW8iTSSkpKkJKSqvV6+fz5MwIDAzkinpCQAHNzc46I9+rVq8Z3HdHR0Rg2bBjXk5uzszNkZGR4\nuj6ICJs2bYKnpyfu378PdXV1/k4wg1gQp6h7ArAAIIevzRo3APjnu/11LuoAoKysjNDQUIFjxGVl\nZTA1NcWqVat4is2Xl5fjwoUL2LFjB1q0aAEXFxdMmDBBZK0NIiMjYWNjg8TERKFj/V++fMG5c+dw\n8uRJFBQUYObMmZg+fTpPQktESE5O5grZREREwMDAgEvoO3bsWKWf69atQ0pKCtzd3QX2v6SkBB8+\nfKgk1jExMXj9+nW1+Vq3bo02bdqgoqICJSUlPNeoeRHqmkhLS+MIeEBAAD5+/Ih+/fpxRLxHjx6c\nODsvbNmyBenp6Th48CAA4OnTpxg3bhxiYmIgKSnJs529e/fi4MGDuHfvHvT09Pg+Lob6RVBRrw/q\npffV8OHD6dq1a0LZePHiBSkqKtY48UZhYSEdOnSINDU1adCgQXTnzp066UHJZrPJwMCAQkJCRGoz\nNDSU5s2bR7KysjRs2DA6f/483xMmFxcXU3BwMO3du5cmTZpE6urqJCcnRzY2NrR582a6f/8+Z/jY\n3NxcUlRUpPDw8GrtlZWVUXx8PPn5+dGRI0do2rRppK+vz9XDtrqlefPm1KNHD7KxsSFnZ2f6/fff\n6cCBA3T+/Hny9/en6OhoysrKqtNersnJyXT27Fn67bffSF9fn6SlpcnW1pZ2795NoaGhQk/516NH\nD3r48CEREbFYLDI1NaVTp04JZOv48eOkqqpa4+/B0DBAY+1R+o3Vq1ejbdu2WL9+vVB2NmzYgFev\nXuHq1atctbXs7GwcOXIEhw4dQr9+/eDi4sKJb9YV69evR3FxsUAvgGujuLgYV65cgZubG8LCwmBv\nbw9nZ2d0795dIHsfP37E06dPOTX6sLAwaGtrw9zcHM+ePUN4eDh27NiB0NBQhISEIDk5uVab7du3\nh5mZGbp37w5VVdVKtWppaWmx9JxMTEzkqonn5uZyvdjs3LmzyDpeJSYmolevXkhNTUXz5s1x4sQJ\nuLm54dGjRwJ3Lrpw4QIWLVqEa9eu1fk1zCA4jb6m7unpSePHjxfaTmlpKXXp0oVOnz5NRF/nD12+\nfDnJyMjQzJkzKSoqSugyeCU8PJw0NTXrfCyVhIQE2rhxI2lqalK3bt3o4MGD9OXLF77tlJaW0ps3\nb+jSpUvk6upKhoaGtda0Z8yYQbdu3aKoqCjKzMxscOPGsNlsevfuHZ04cYKmTZtGGhoapKioSBMn\nTqTDhw9TREREtROfiIK9e/fSL7/8QkRfx1xXUlKiFy9eCG33+vXrpKCgQA8ePBDaFkPdgMZeU4+J\niYGNjU1TyhiuAAAgAElEQVSNbXx55dWrV+jevTskJSWRl5eHhQsXYuXKlfX+gomIYGhoiLNnz6JX\nr151Xh6bzcbDhw/h5uaGGzduYPjw4XB2doaVlRVXzTMvLw8xMTGIjo7mfEZHRyMpKQkaGhowNDSE\nkZERjIyMYGhoCENDQxARxowZg/DwcLi6uiI9PR1v3rzBmzdvkJ6eDn19fXTq1Ilr0dbWrvehBogI\nb9++RUBAAPz9/REYGAgi4tTCLSwsYGBgUG9PCAMGDMCaNWswcuRILFq0CKWlpTh27JhIbAcEBGDi\nxIk4efIkbG1tRWKTQXSIu/VLTdSLqLNYLEhJSeHjx48CNyP8nu//tC1atICioiJn7JUOHTpAXV2d\na11VVZWvl1+8snbtWpSXl9dbs0AiQlZWFqKjo7F37174+Phw9hkaGiIvLw85OTkwMDDgiPY3Ae/Y\nsSNatWpVrW0Wi4V169bB09MTly9fRo8ePQB8HbQqOjqaI/Lfli9fvsDAwKCS2GtpaYlsXBMiQlRU\nFFc4pVWrVlwirqurK5YwT1paGoyMjJCWlobY2FhYWVkhKipKpIO5PXv2DKNHj8bevXvrbbgMBt5o\n9KIOAObm5tixYwcGDhwotK1vf2Jra2tcvnwZX758QUpKCpKTk5GSklJpSUtLg5ycXCWx//4moKqq\nWqPoVcWrV68wbtw4vH//XihhYbFYyMjIQGpqao1LWloa2rRpAxUVFc4SHByM9+/fAwDMzMywa9cu\n9OvXT2B/vLy8MG/ePOzfv7/GDl/5+fmIioqqJPZZWVkwMjKqJPYaGhq1ij2bzUZERARHwAMDAyEp\nKckl4lpaWgIdl6g5evQogoKCcPbsWVhaWmLy5MmYN2+eyMuJjIyEtbU1NmzYgFmzZoncPoNgMKIO\nYO7cuTAyMsKiRYuEskNEaNq0KZo3bw5ra2vIycnhn3/+qVHEWCwW0tLSKon99zeB1NRUSEtL11jj\nV1NTg4SEBJcv+vr6OH/+PHr27Fmp3NLSUqSlpdUq1l++fIGsrCyXWFe1fOt48z3p6emc7VZWVoiO\njoakpCQWLVqEyZMnC9QmPyIiAmPHjsWYMWOwc+dOvpqC5ubmVin2eXl5HLE3NjZGp06dYGRkhMzM\nTE478aCgIMjLy3OJeENttz1s2DDMnj0b5eXl2L59O168eFFn4aj4+HgMHToUc+fOxcqVK+ukDAb+\nYEQdwLFjx/D06VO4ubkJZSc9PR1GRkYAgNDQUDg4OGDIkCHYsmWLUHbZbDYyMjJqrPF//PgR7dq1\n4xL7o0ePAgBWrVpVSazz8/OhqKhYrUirqqpCRUUFioqKAoeHioqKICsri9u3b2Py5MkICgpCXFwc\nDh48iLCwMMyaNQtz5syBmpoaX3azsrJgb2+PiooKXLhwQeiwQnZ2diWx9/Pz4+xXUFDAwoULYW1t\nDRMTk0o3r4ZEVlYWtLS08O7dO5iamsLT0xP9+/ev0zJTUlIwdOhQTJgwAZs3b2bGZBczjb71CxFR\nSEgIde/eXWg7AQEBZGZmRlZWVnT9+nX6/Pkz6evr06FDh0TgZc2wWCxKT0+nFy9e0NWrV+nIkSNc\nrUWOHz9Ot27dolevXlF6enqdtrz4BpvNpmbNmlFpaSn99ddfZGRkRDk5OUREFBMTQwsWLCAZGRma\nPHkyPX78mK8WLBUVFeTi4kJaWlr08uVLkfrNYrFISUmJnj59Svfv36c9e/aQk5MTde3alSQkJMjQ\n0JAmT55MW7dupRs3blBKSkqDaX1z6tQpGjt2LK1evZocHR3rrdyMjAzq3r07LVy4sF6uLYbqQWOd\nzu57CgsLSUJCgkpLS4Wyc/z4cZo+fTqtXr2aNm7cSERfm/2pqamRt7e3KFzli86dO9OlS5fIysqK\nBg0aJJaJs2VkZDjNHOfOnUsjR47kmmYvJyeH9u/fT7q6utSzZ09yd3fnq1PThQsXSF5ens6dOycy\nn589e0ZGRkZV7istLaXw8HA6ffo0LV++nKysrEhBQYHk5ORo8ODBtHTpUnJ3d6ewsDChrydBGDNm\nDG3YsIHk5OTo48eP9Vp2dnY29evXj6ZPny50xykGwQEj6l8xMjKiV69eCWVjxYoVtHXrVvL29iZb\nW1vO9rCwMFJQUKCAgABh3eSZ169fU4cOHYjFYlFFRQWtXbuWOnTowNdk26JAQ0ODEhISiOhrD1BL\nS0tatWpVpXQsFouuX79Ow4cPJ0VFRVq3bh2lpKTwVEZ4eDjp6OjQ8uXLRSImGzZsoJUrV/Kcns1m\n06dPn+jWrVu0fft2sre3J2NjY2rdujV17tyZpk6dSrt27aK7d+9Senq60P5VR35+PklKSlLfvn1p\nx44ddVZOTRQUFNCwYcNowoQJVFJSIhYfGjtgRP0r9vb25O7uLpSN0aNHk7e3NyUmJpKKigrXvvv3\n75OioiJFREQIVQavrFmzppIw+fr6kqKiIh08eLDewgUmJiZcXcs/f/5MOjo6dObMmWrzREdH0/z5\n80lGRoamTJnCU2gmMzOThg4dSkOGDBGoA9T39OjRQyQ34OLiYgoNDaWTJ0/SokWLyMLCgqSlpUlZ\nWZmGDx9Oq1atonPnzlFkZKRIbkZeXl4EgPT19cXylPCNkpISGj9+PA0bNowKCgrE5kdjBYyof2XH\njh20ZMkSoWwYGBhQREQEsdlskpeXr/T46+npSerq6vThwwehyqkNNptNmpqaFBYWVmlffHw8devW\njaZMmUL5+fl16gcRkbm5OT169IhrW0REBMnLy9c6Pk1OTg7t27ePE5o5depUjbW/8vJyWrlyJWlp\naVV57Lzw8eNHkpWVrbPwAZvNpqSkJLp27Rpt3ryZ7OzsSE9PjyQkJKhHjx40c+ZM2r9/Pz18+JCy\nsrL4sj1u3DgCQLdv364T3/mhvLycnJycqF+/fpz3KAz1AxhR/8qdO3fI0tJS4Pzl5eXUqlUrKioq\nIiIia2trunr1aqV0e/bsIWNjY77/sPzw+PFjMjIyqrZ2W1RURDNnziRjY2OKjo6uMz+Ivg6YdvPm\nzUrbr169SmpqajyFWL6FZoYNG0ZKSkq0bt26GuPFnp6eJC8vTx4eHnz7e/z4cbK3t+c7n7Dk5+dT\ncHAwHT16lObOnUt9+/aldu3akbq6Oo0aNYrWrl1LFy9epNjYWK53Et8oKSkhAGRmZlbvvlcHi8Wi\nBQsWUPfu3SkjI0Pc7jQawIj6V9LT00laWlrgsMTbt29JS0uLs75u3Tpav359lWmXLVtG/fv359wA\nRM38+fNp8+bNtaY7ceIEycvLk5eXV534QURkZ2dH58+fr3Lf1q1bydTUlK/zEBUVRfPmzSNpaWma\nMmUKPXnypMrf7NWrV6StrU0rVqzgq9Y9ZswYOnv2LM/p6xIWi0VxcXF06dIl2rBhA40ZM4a0tLSo\nbdu21KdPH5o1axYdOXKEHj16RDt37iQA9P79e3G7zQWbzaa1a9eSoaEhz+9IGIQDjKj/P6qqqpyX\nevzi6+tLw4YN46xfuXKFRowYUWVaFotF9vb2NG7cuCprXcJQVlZGCgoKFBcXx1P60NBQ0tLSomXL\nllFZWZlIfSEicnZ2puPHj1e5j81mk729PTk4OPB9M83OzqZ9+/aRjo4OZ0jZ/4Zmvnz5QlZWVmRl\nZcVTnL24uJgkJSWFjsnXJeXl5fTs2TNauXIlaWpqVhrobOfOnQJfw3XJjh07SFtbm+frkkFwIKCo\ni2YAjQZGt27d8OrVK4Hyvn37FgYGBpz1nj17IjQ0FFRFB6qmTZvC3d0deXl5WLRoUZVpBMXPzw86\nOjo8TVT9zc8XL14gJiYGQ4YMQWpqqsh8AcAZ3KwqmjRpgpMnTyI2NpZrDk1ekJaWxpIlS/D27Vu4\nurri7Nmz0NTUxIYNG/Dp0ycAgJycHG7duoVu3bqhV69eCA8Pr9Gmv78/unTpAjk5Ob58qQsyMzPx\n+PFjuLm5wcXFBWPHjoWRkRHatWuHyZMnc3rW/vnnn/Dz88Pt27cBfJ0Io1evXujTpw/27NmDpKQk\nMR/JV1atWoVVq1bBwsICkZGR4naHoQpEM01PA+ObqI8dO5bvvLGxsejSpQtnXU1NDU2bNkVycnKV\nMwW1bNkSly9fhoWFBbZu3Yq1a9cK5fs3PDw8+B5gSVZWFr6+vtiyZQunF6IoxsEBvo5tnp+fX+1+\nCQkJXL16FX369EGnTp34HvWvWbNmGDVqFEaNGoXo6GgcPnwYnTp1grW1NRYtWsQZc6ZHjx6wsrLC\n4cOHMXny5CptXb9+HaNGjeKrfGEoKytDfHw8YmNjKy3l5eUwNDSEgYEBDAwMMHXqVBgYGKBjx47V\n9midO3cuWrVqhU+fPsHf3x8XL15Ez5490bFjR0yaNAkTJ04U69AGc+bMgaSkJKysrODr61svI4gy\nNCzq/bHFy8uLxowZI1BeS0tLunv3Ltc2GxsbunTpUo35Pn36RNra2uTm5iZQud9TWFhIUlJSlJqa\nKrCN27dvk5KSEu3atUskzR537dpFy5YtqzVdSEgIKSgoUGRkpNBlZmdn0969ezmhmdOnT1NJSQmF\nhYWRlpYWrVy5slLYi81mk5aWlkjK/6/d9PR0CggIoL///puWL19Oo0aNIj09PWrVqhXp6uqSjY0N\nLVu2jI4dO0b+/v6Umpoq0LlPT08nOTk5evfuHWdbWVkZ3b59m5ydnUlWVpbMzc1p3759lJycLMrD\n5Itr166RgoIC+fv7i82HnxkwMfX/5927d6SpqSlQXhUVFUpKSuLa5urqSr///nuteWNjY0lZWZlu\n3LghUNnfuHDhAg0dOlQoG0REiYmJ1KtXLxo/fjxnejlBOXr0KP322288pT19+jTp6OiILKZdUVFB\nvr6+NHToUFJSUqINGzZQREQEDRkyhIYOHUqZmZmctJGRkaSlpSXwjaykpIQiIyPJ29ubtmzZQk5O\nTtSnTx+SlpYmGRkZMjMzo+nTp9O2bdvo8uXL9ObNmzrpnLNlyxays7Orcl9paSndunWLZs6cSbKy\nstSvXz/av3+/WF5g+vn5kby8vNDXPENlwIj6/8Nisah9+/Zcf3ZeyMvLIwkJiUpjXvz35WlNfKup\nPn36lK+yv2fMmDH0zz//CJz/e0pKSmjOnDmkr68vVIcpDw8Pmjx5Ms/pV65cSYMGDRL5S9s3b97Q\n3LlzSVpamiZNmkT9+vUjHR0dTseo7du30/z582u08a3n6IMHD+ivv/6iJUuW0IgRI0hHR4datWpF\n+vr6ZGtrSytWrKDjx49TUFAQZWRk1Ou4MIWFhaSurk5PnjypMV1paSnduHGDpk+fTjIyMtS/f386\nePBgvQ4tEBwcTIqKitW2jmIQDDCizk2/fv34nqorNDSUunTpUmn7p0+fSFZWluc/ta+vLykrK1Ns\nbCxf5RN9nbJMUlJS5B09Tp06JdTYKr6+vtW2AqqKiooKGjlyZK0CKyjZ2dm0Z88e0tbW5rQYOX36\nNPXv359u3bpFRF/b8YeHh9OFCxfojz/+IEdHRzI1NaX27duTvLw89evXj5ydnWnHjh105coViomJ\nqZOWQ4Li7u5O5ubmPF93JSUldP36dXJyciJpaWkaOHAgHT58WKgwHq+Eh4eTiooKnThxos7LaiyA\nEXVu5s+fT3v37uUrj4eHR7WPvGpqany1HT558iTp6Ojw/Yc6ceKESOZarYrw8HDq2LEjLViwgO/u\n5wEBAdS/f3++8uTk5JChoSEdPXqUr3z8UFFRQdeuXSM5Obkq50A1MjKisWPHkouLC7m5udHjx48b\ndFPH76moqKBu3boJ1P+gpKSErl27RlOnTiVpaWmysLCgI0eO1OlgcG/fviVNTU2+/3cMVQOmSSM3\n3bt357tZY2xsLFdzxu8xNTVFaGgoz7acnZ0xY8YMjBw5stqmgFUhSKsXXunSpQueP3+O5ORkWFhY\nIDk5mee8NTVprA4pKSlcu3YNGzZsQEBAAL/u8kTTpk3RrFkzdO7cmWt769at0aJFC5SUlKCsrAws\nFgtEhCZNmtT7vKeC0qxZM+zevRsuLi4oKyvjK2+rVq1ga2uLM2fOIDU1FcuWLcOTJ09gYGCAwYMH\n4+jRo8jIyBCpv3p6eggMDMTRo0exceNGkTbxZWhYiOUuV10opSbs7e3p9OnTVe77448/qhyVsCbY\nbDbNnj2brKyseKoZf/z4kaSlpeush+o3WCwWbd++nZSVlen+/fs85YmLiyNtbW2Byrt37x4pKSmJ\ntJdkaWkpubu7k4mJCXXt2pXOnj1LZWVlNGzYME7Ntry8nN6+fUtXrlyhbdu2kZOTE5mamlK7du1I\nRUWFBg8eTPPnz6fDhw/TgwcPBG6tUteMHDmS9u3bJxJbRUVF5OPjQ/b29iQlJUWDBw+mo0ePirT7\nf1paGnXt2pWWLFnSIM/njwKY8As3xcXF1Lp1a75aJvTo0aPawalu3rxJgwcP5tuPiooKGjt2LDk6\nOtY66cDevXtpxowZfJchKA8ePCAVFRXasmVLrb5lZGSQnJycwGUdOHCATExMKC8vT2AbRES5ubm0\na9cuUlNTIysrK7p79y6XcPz111+1TirBZrPpw4cPdOfOHdq3bx/NmjWLBgwYQPLy8iQtLU3m5ub0\nyy+/0O7du+nGjRv0/v17sU4YERkZSQoKCiIfZ6ioqIguXbpEU6ZMISkpKbKysqK///6bPn/+LLTt\nrKwsMjMzo19++UXkva0bC2BEvTImJib04sULntKy2Wxq165dtX+c9PR0kpKSEqjmUVRURP369aMV\nK1bUmM7U1LRSG/m6JiUlhczNzcnW1pays7OrTVdcXEwtW7YUuBw2m02//vorjRkzRiCBTElJoZUr\nV5KsrCw5ODhUO0vSx48fSUZGRuAhazMyMiggIICOHj1KixcvpqFDh1KHDh2oTZs21L17d3JwcKDN\nmzfTpUuXKCoqqt5erM6aNavW60cYCgsLydvbmyZNmkSSkpI0dOhQOn78uFDvH/Lz82nIkCE0adIk\nsQ4h/KMCRtQrM3XqVDp58iRPaT9+/EgKCgo1ptHQ0ODqEMIPmZmZZGRkVO1jdGxsLCkpKYllppnS\n0lJatGgR6erqVjvULZvNphYtWgjVJru0tJT69+9P69at4zlPZGQkzZgxg2RkZGjx4sWUmJhYax4z\nMzOR3xzz8vLo2bNn5O7uTi4uLjR69GjS09Oj1q1bk6GhIY0fP57Wrl1LZ8+epRcvXlBhYaFIy09N\nTSVZWdl6GeiroKCALl68SHZ2diQpKUnDhw+nkydP8t1EmOhrZWDMmDE0YsQIkZ+Tnx0wol6ZPXv2\n0MKFC3lK++DBg1pbd4wfP548PT0F9icpKYk6dOhQpY2NGzfSokWLBLYtCr4NdVtdG3lZWVmhY6/p\n6emkqalZY5tmNptN/v7+ZGNjQ8rKyvS///2PL0HZvn07zZ07Vyg/eaW4uJhev35NFy5coI0bN9Kk\nSZOoc+fOJCEhQVpaWjRixAhavnw5nThxgh4/fixUCGXTpk00ZcoUEXpfOwUFBXThwgWaMGECSUpK\nkrW1Nbm5ufF1HGVlZeTo6EgDBw4UuhNcYwJiFHVrADEA3gFwqWK/2E6Kn58fDRgwgKe0R48eJWdn\n5xrTbN26lZYvXy6UT69fvyZFRUXy8/PjbGOz2aSvr1/rZBP1QWRkJBkYGNBvv/1WaY5RLS0tio+P\nF7qMsLAwkpeXp9DQUK7tFRUV5OXlRb179yZ9fX36+++/+Zrn9BuxsbGkqqoq1jh4RUUFvXv3jq5e\nvUrbt2+n6dOnU+/eval9+/akrKxMgwYNonnz5tGhQ4fIz8+PPn36VGtor6CggFRVVcV2neTn55On\npyeNGzeOJCUlaeTIkeTu7l5j2O4bLBaL5syZQ6ampiKJ2TcGICZRbwYgDoAWgBYAXgEw+k8asZ2U\nL1++kKSkJE9/7qVLl9Y6H+Tdu3fJwsJCaL8ePnxICgoKnLlUQ0NDSUdHp8G0FMjLyyM7Ozvq2bMn\n1/CvXbp0EXgmov/i7e1N6urqlJqaSkVFRfTnn3+Srq4u9e3bl3x8fIQWZCMjI6F69dYVbDabkpOT\n6e7du3TgwAGaPXs2DRw4kBQUFEhKSorMzMzI2dmZdu3aRdevX6f4+Hiuc3Hy5Enq37+/2K+VvLw8\n8vDwoLFjx5KkpCTZ2NjQqVOnauw0x2azycXFhYyNjet9Mu0fEYhJ1M0B3P5uffW/y/eI9cSoq6vz\nNPazjY0N+fj41JgmMzOT2rdvL5Ia4MWLF0lNTY0SEhJo2bJlfMWZ6wM2m0179+4lRUVFzoxH/fr1\no8DAQKHs5ubmUlRUFN27d490dHQ4nYTGjBlTabo8YVizZg2tXr1aZPbqg8+fP1NgYCAdO3aMlixZ\nQsOHDyd1dXVq06YNdevWjezt7cnV1ZUA0KJFiyg5OblBTAqdm5tLZ8+epdGjR5OkpCTZ2trSmTNn\nqg21bNu2jXR0dBrcRCANDQgo6k0EyfQddgCGA/jt3/WpAPoAWPhdmn/9Ew9jxoyBk5MTJkyYUGM6\nPT09XLt2DUZG/33Q4EZHRwc3b96EoaGh0L4dOnQIhw4dwocPHxAWFlZr2eIgKCgI9vb2+PXXXxES\nEoKFCxfCxsamUjoWi4X09HSkpKTg48eP1S5EBDU1NaipqUFVVRUPHjxAamoqunbtCicnJzg4OEBZ\nWVlov58/fw4nJydER0cLbUtc5Obm4s2bNwgODoa3tzdCQkKqTNe+fXvIy8tDQUGBp09paWk0aSLs\nX796n319fXHx4kUEBATA0tISkyZNgq2tLSQlJTnp/vzzT2zbtg137tyBsbFxnfjyo/Pvb8T3DyXs\nLzsBX2PqNYq6q6srZ8XS0hKWlpZCFss7rq6uYLPZ2Lx5c7VpysrKOD0mW7ZsWaO9SZMmYfTo0Zg6\ndarQvrHZbE7vRk1NTTRv3hzNmzdHs2bNKn3/72dN+4TN/99tGRkZWLx4MYCvArJw4ULk5eVxiXVG\nRgbk5OQ4gl3dIikpWUlQ2Gw2AgICcPr0aVy5cgVmZmZwcnLCmDFj0KZNG4HPrYaGBu7fvy+SG3Bd\nUlpaipiYGERGRiIiIoLzmZmZCWNjY5iYmKBz585o2rQpfv/9dyxevBguLi5wc3PDvn37oKCggBkz\nZqBnz57IzMzE58+f8eXLl2o/i4qKIC8vz9eNoLb/RVXk5OTg2rVruHjxIgIDAzFkyBBMmjQJo0aN\nQvv27XHmzBmsWrUK169fR8+ePevgzP5Y+Pv7w9/fn7O+adMmQAyibgZgI74KOwCsAcAG8P30N2Kt\nqfv4+MDNzQ2+vr7VpomJicGoUaMQFxdXq72dO3fi06dP2L9/v1B+paWlwcnJCQUFBQgODsa2bdsw\nYcIEsFgsVFRUcD6//y6qfVWlKS4u5kz0kJKSwvNxdO/eHUOGDIGlpSVMTEygrq6Opk0FH32iqKgI\nV65cwenTp/H06VOMHz8eTk5OGDBgAN92FyxYgA4dOmD16v9GBMUDm81GQkICl3BHRkbi/fv30NbW\nRufOndG5c2eOiGtra3OO+fbt23BycsKePXswbdo0js3y8nJcvHgRu3btAovFwooVK2Bvb1+jCJeW\nlvIk/t8+v3z5gjZt2nBEnpcbwX9v3tnZ2RyBf/ToEUfgKyoqsGzZMly6dAkDBgyou5P/AyKumnpz\nALEAhgD4BOAZAHsA3z/zilXUExISMGDAgBqF6tq1azh27Bhu3LhRq70HDx7A1dUVQUFBAvt09+5d\nzJgxA7/++is2bNiA4OBgODo6Ijo6Gm3bthXYbm3k5+cjPj6ea4mLi0N8fDxSU1PRoUMH6Orqci0d\nO3aEjo4O2rZtiwsXLsDDwwM+Pj5ISUlBTEwMYmJiEBsby/mek5MDfX19GBgYwNDQkDPrj76+Pt/H\nlpqaCg8PD5w6dQp5eXmYOnUqpk2bVu34PP/l/v37WLt2LZ4+fSrI6RIYIkJGRgYiIiK4BDwqKgpy\ncnIc0f4m4IaGhmjVqlW1tg4dOoRt27bB29sb/fr1qzbd/fv3sWvXLkRFRWHRokWYPXs2pKSkRHI8\nOTk5PN0Avn2WlJRU+TSgoKCAZs2a4fHjx3jw4AHXmDaXLl3C+PHjhfb3Z0Fcog4AIwDsx9eWMCcB\nbPvPfrGKOhFBRkYG7969g4KCQpVpdu3ahU+fPmHfvn212svJyYG6ujpycnL4HhiqvLwc69evx9mz\nZ3HmzBkMGjSIs8/BwQG6uro1holqg4jw+fNnLrH+fsnPz+fMe9qxY0cu8dbU1ESLFi1qtJ+SkoLu\n3bsjIyOj2phsXl4e3r59W0ns4+LioKioWEnsDQ0NoaqqWmuMNzw8HKdPn4aHhwc0NTXh5OSEyZMn\n1zgPaXl5OZSVlfH69WuoqanVfgIFID8/H2/evOES74iICLDZbK5at4mJCUxMTPgS2fLycixatAhB\nQUHw9fWFtrY2T/levXqF3bt349atW5g5cyaWLFmCDh06CHqIAlFSUlLr08DHjx8RHBzMle/y5csY\nN25cvfraUBGnqNeGWEUd+BrHX7duHaysrKrc/+uvv8LU1BRz5szhyZ6+vj58fHzQqVMnnn1ISEiA\ng4MDZGRkcOrUqUo3mJSUFHTt2hXPnz+Hjo5OtXZYLBaSk5OrrG3Hx8ejZcuWVda2dXV1oaKiIvQL\nMk1NTdy7dw/6+vp85WOxWEhKSqok9rGxsSgsLKxS7PX09NC6dWsuOxUVFbh//z5Onz6NmzdvYtCg\nQXBycsLIkSOrrO1OmzYN5ubmmDdvnlDHXVZWhtjY2Epx74yMDBgZGVUScGHPdXZ2NiZNmoQWLVrg\n/PnzXC8ZeeXDhw/Yv38/3N3dMWrUKKxYsYJr/t36JiMjA8HBwXj8+DGePHmCsLAw6OvrQ0pKCgEB\nAejXrx/evXuHI0eOwM7OTmx+NhQYUa+BbzWVFStWVLl/4MCB2LhxIwYPHsyTPQcHBwwfPhzTp0/n\nKQY1XLgAACAASURBVL2Xlxfmz5+P1atXY8mSJdXGhrdu3YrQ0FB4eHggISGhytp2UlIS5OXlq6xt\n6+rqQkZGhiefBMXe3h7Dhg3DzJkzRWYzOzubM1Hz92L//v17qKqqVhJ7Q0NDKCoqIj8/H5cuXcLp\n06cRERGBSZMmwcnJCX369OEI6qVLl3Ds2DHcvXuXJ1/YbDaSkpIqxb3j4uKgqalZKe6to6Mj8qF8\n3717B1tbW4wYMQK7du1C8+bCzQ+fk5ODY8eO4eDBg+jcuTNWrlyJwYMH11kLGODrTTwqKgpPnjzh\nLJ8/f4aZmRn69u2Lfv36oXfv3oiOjsbo0aOxd+9eODg44NWrV7C2tsaBAweqnVi8scCIeg24u7vj\n/v37OHv2bJX7lZSU8PLlS54f0ffu3YuEhAQcOnSoxnTFxcVYunQp7t27h/Pnz1c76zoR4eXLl9ix\nYwe8vLw4262trSvVtrW1taudhb4+OHz4MMLDw3H8+PE6L6u8vBwJCQmVxD46OhosFotL6CUkJBAa\nGoonT56gefPmcHJywtSpU6GgoAAVFRV8+PAB0tLSXPY/f/5cKe795s0bSEtLV4p7GxkZVXpqqAv8\n/f0xefJk/PHHH5g9e7ZIbZeWlsLDwwO7d+9Gq1atsHLlSkycOFHomwbwNez27NkzTi386dOnUFRU\nRN++fTmLsbExV4Xm4cOHmDx5Mk6ePAlbW1vO9tevX2P48OHYs2dPnc0t8CMgqKjXB/XZXr9KwsLC\nyNjYuMp92dnZ1LZtW7566Pn7+5OZmVmNaSIjI6lTp040ZcqUKjthsNlsevbsGa1cuZJrSrYhQ4bQ\n9u3bSUdHh3r27Elubm51Pr46P7x48YKMjIzE7QZ9/vyZHj16RCdOnKAVK1aQra0t6enpUatWraqc\nAcna2poOHDhAixcvpiFDhpCioiJJS0vTgAEDaO7cufTnn39SUFCQyIe35Yfjx4+ToqIiz2PcCwqL\nxaLr16+ThYUFaWpq0v79+yk/P5/n/Gw2m+Lj4+nMmTM0d+5c6tq1K7Vp04b69+9PLi4udPXq1VrH\nCLp69SopKCjQw4cPq9wfERFBKioqdOrUKX4O7acCYup8xAv/+ic+ysrKIC0tjczMzEq13GfPnmHO\nnDl4+fIlz/by8vKgoqKCnJycSi8XiQgnTpzAmjVrsHPnTsycOZPzmEtEeP78Oby8vODt7Y0WLVpg\n4sSJUFRUxJYtW7B3715O+3c2m43bt2/jyJEjePbsGWbOnIm5c+fy/LKsrqioqICsrCwSExMhKysr\nVl+qoqysDPHx8YiJicGtW7eqfaKQkJCAiYkJZGRkIC0tDWlpac73/35+/722l8mCwGKx4OLigmvX\nrsHX15fn1j2i4Pnz59i1axcePnyI3377DYsWLarU+au0tBQvXrzgCqU0bdoU/fr1Q9++fWFmZgYd\nHR0UFhYiOzsb2dnZyMrK4nzPzs5GUlIS7ty5g5ycHI5dT09PTJkypVrfoqOjYWVlhf/9738iDff9\nKAhaUxf+uesHoGXLljAwMEBkZGSlEMjbt2/5/hNJSkpCQ0MDUVFR6Nq1K2d7bm4uZs2ahejoaAQF\nBcHIyAhEhKdPn3KEvFWrVpg4cSKuXLmCLl264OLFi1i4cCE8PT0xZMgQjq2mTZti5MiRGDlyJOLj\n4/HXX3+hV69eMDc3x/z58zFs2DCh2oMLSvPmzdG7d28EBwdX2bNU3LRo0QKfPn3C2bNn8fDhQyxY\nsADdunXD0aNH8fz5c5SWliI3Nxc5OTnIzs6u9JmdnY2EhIQq9+Xk5KB169bV3gRq29a+fftKv1l+\nfj4cHBxQWFiIkJAQkd0oiahSn4T/9k2oqKiApKQkXF1dYW9vj127dmHbtm3Q09ND27ZtER0djdLS\n0kq29fT0ICkpiZcvX8LPzw+5ublo164dZGVlISMjAykpKaSmpiI2NrZS3m7dusHa2hpsNhsLFixA\nVlYW5syZU+W1bGRkhAcPHmDIkCGoqKjAb7/9VikNQ2UaRU0d+L/2zjqsivR947e7xooo3RKKYqCI\nhQEWoCLqmqyytmJh4WJ3sAqoa3ehrrWiYmCsioiBiWKCuipYGIAgHXP//kDOT4QDBziEfudzXXOd\niXfeec575tzzzhvPAwwZMgQtW7bMdmPMnj0bP/30U+bsLZkZMGAA2rZti2HDhgEArl27BkdHR9jZ\n2WHp0qUIDg6WCHmlSpXg4OAABwcH1KtXT1Jz/+uvv7B8+XIcP348y8NBGgkJCdi7dy/Wrl2Lz58/\nw9nZGYMHDy7yztFvmTNnDtLS0rBo0aJivW5uxMTEYOfOnVi3bh3Kli2LMWPGoF+/fqhcuTKio6Nh\nYGCA2NjYQnUOkpTURnMSfGkPisxjCQkJqFKliuSt8euYrx06dECZMmVyFeD87MucrZw5Qzin2co5\n7QsJCUFiYqLUMtDT05P0NZiZmaF+/frQ0NDA7du3cfXqVQQGBuLGjRvQ1NRE8+bNJYuZmVm2t5yQ\nkBAMGjQIVapUwbZt26Cvr5/jNZ88eQIbGxvMmDFD5hFqPwJiTT0PzM3NcwxE/fjxY3Tr1i3f+TVp\n0gS3bt3CkCFDsGzZMnh6emLQoEFIT09HrVq1ULlyZTg4OMDLywsVK1bEs2fP4OPjg2XLluHYsWOI\niooCALRr1w4PHjyAjo4ONDU1c72mgoIChg0bhqFDh+Lq1atYs2YNFixYgN69e2PMmDEwNzfP9/co\nCJaWlli8+NvpCCXDvXv3sHbtWuzfvx8dO3bExo0b0apVqyziraKiAkVFRbx69UqqcMhCmTJloKio\nCEVFxXznk5iYKBmK6e3tneXY4cOHZRJfWUQ5c/npp5/y/QC7ceMGevbsiREjRmDWrFkoU6YMkpOT\n8ebNG7x69SrL8vTpUxw8eBDPnj2TnD9gwABMnDgRzZo1g7q6ep7Xq127Ni5fvgxPT080atQIS5cu\nxcCBA7PZXbNmTfj7+8Pa2hppaWkYO3Zsvr6XiPwpsY6Gr/H392eLFi2y7W/QoAFv3LiR7/wuXbpE\nfX39HDvmatasSTMzMyoqKlJNTY1NmzZlnz592K9fP0kaZ2dnAqCtrS27d+9OJSUlNmzYkFOnTqWf\nn5/M3vciIiLo5ubGqlWr0tLSknv37i3y0GGfPn1ipUqVii2U27ckJydz7969tLKyop6eHhcsWMA3\nb97kek67du14+vTpYrIwgydPnnDVqlXs1KlTlvtDU1OT//77L48dO0Y7O7titUkau3btorq6ep6e\nSsmMjtKdO3dSS0uL48eP5507dzhx4kSqqqqyV69eDAgIyLdr4Dt37tDMzIy//vor3759m2Oa58+f\n08jISG5BuEs7ECMf5c6nT5+oqKiYJQhueno6FRQUChSNxdfXN8sfVU9PjyNHjqSHhwe9vb0ZFBQk\nCR7w4cMHyU0/c+ZMic/p8+fP08DAgPHx8UxJSeHFixc5e/ZsNmvWjJUrV6a9vT1XrFjBR48e5fkn\nSU1N5cGDB2ltbU1tbW3Onj2br169yvf3kpX69evz+vXrRZZ/ToSHh3PWrFnU1tamtbU1vb29ZX6w\nODs7c8WKFUVqX0JCAk+cOMFx48axRo0a1NHRoa2tLfX19VmmTBn2799f4kOfzAg0LmtkrqIiLS2N\nkydPZvXq1Xnv3r080z9+/Jg2NjZs2LBhtt8/NjaWq1evZs2aNdmwYUN6eXnlyzVwUlISZ8yYQS0t\nLR44cCDHNC9evGD16tW5dOlSmfP9XoEo6nlTrVo1hoaGSrbDw8Opo6OT73x8fHwkYp5bTNHPnz9z\n4cKFVFNT4+jRo3OsTfbt2zdHX+qRkZH8559/6OTkRH19ferr63PYsGHcv39/nqHdHjx4wDFjxlBF\nRYW9e/fm+fPn5R5UYdSoUcVSYxIEgWfPnmWPHj2oqqrKcePG8eHDh/nOZ/Xq1Rw5cqTc7Xv8+DFX\nrlxJOzs7KioqslWrVly0aBG9vLz4+++/U1VVla6urgwPD8927qhRo7h69Wq52yQr0dHR7NSpE62t\nrfMMMJ2cnCy5l5ctW5brfZ+enk5fX1926NCBWlpanDt3rtTad05cvXqVJiYmdHR0zPFeDw8PZ40a\nNeju7i5znt8jEEU9b3r06MH9+/dLts+cOZPvSEYrVqygrq4uAdDX1zfHNMnJyVyzZg21tbXZt2/f\nXINVv3z5kmpqarmmEQSBjx494sqVK9m5c2dWrlyZFhYWnDVrFi9evCi1thoTE8M1a9awTp06NDU1\n5bp16xgbG5uv7yuNnTt30sHBQS555UR0dDRXrlzJWrVqsX79+tywYUO+xlJ/y9mzZ2UObZgb8fHx\n9PX15dixY2lsbExdXV0OHTqUBw4cYHR0NE+fPk1bW1vq6urSw8Mj11BvNjY2PHXqVKFtKgghISGs\nVasWx40bl+fbTkBAAOvUqcMuXbrIFPj7ax48eMCRI0dSWVmZAwYMyBbCUBrx8fGcMGEC9fT0cvyf\nvXr1iiYmJnRzc8uXPd8TEEU9b+bPn8/p06dLtteuXcsRI0bIdG5aWhrHjRvHunXr0tvbm4aGhlma\ncsiMGsqePXtobGzMjh07MigoSKa8PTw82LlzZ5m/R1JSEv38/Dht2jQ2atSISkpK7NatG9euXZtj\nlCdBEHju3Dn27NmTKioqHDt2LB89eiTz9XLiv//+o66urtzfAO7cucMRI0ZQWVmZffv2LVD7bE68\nfv2a6urq+T5PEASGhoZyxYoV7NixIxUVFdm6dWsuXryYd+7coSAITElJ4a5du9igQQOamppy+/bt\nMvVrGBgYyCXma345ceIENTQ0uHnz5lzTRUZG0snJiXp6evT29i7U7xAZGUkPDw/q6+vTysqKBw4c\nyLW2n4mfnx+NjIzo5OSUrZn0zZs3rF27NufNm1dgu0ozEEU9b44cOZKlY2r8+PEytc3FxcWxa9eu\ntLGxYXR0NJ2cnPjnn39KjguCwJMnT9Lc3JwWFhb08/PLl13JycmsVasWjx49mq/zMnn37h13797N\nQYMGUUdHh9WrV+eoUaN46NChbDEjw8PDOXPmTGppadHGxoaHDh2S6c/1LYIgUFtbO0sM04KSnJzM\nPXv20NLSUtLxmZ/XdVkQBIFVqlSRKehxfHw8jx8/zjFjxrB69erU1dXlsGHD6O3tnaU8Y2JiuHTp\nUurr67Ndu3Y8ceKEzMKXkJDAChUqZKsYFCWCINDT05M6Ojq5hg4UBIG7d++mtrY2x44dm2vc0fyS\nmprKf/75h5aWljQwMKCHh0eezYkxMTF0cnKikZFRtv9WREQE69aty9mzZ5d43FZ5A1HU8yY8PJza\n2tqSbTs7Ox47dizXc968ecPGjRtzyJAhTE5O5qdPn6isrCwRnatXr7Jt27asVasWDx48WOAb6/Tp\n06xWrRoTExMLdH4mgiDw7t27XLp0KTt06EBFRUVaWlpy/vz5DAwMlIhIUlISd+/ezRYtWlBfX59/\n/vkn3717l69r9ezZk7t37y6wrd8+YA4ePFigB4ysNG/ePMcYq4IgMCQkhMuXL5eUWZs2beju7s7g\n4OBsv+nr1685ZcoUqqqqsk+fPgUaPXXv3j3Wrl27wN8lvyQkJLB///5s1KgRw8LCpKZ7+vQp27dv\nTzMzM169erVIbbp58yYHDBhAZWVljho1Ks++El9fX+rp6XHChAmMj4+X7H///j3r16/P6dOn/1DC\nDlHU80YQBKqqqkoE+duO02+5d+8eDQ0N6ebmJrlZ1qxZQwcHBz569Ig9evSgnp4eN2/eLBcx6tmz\nJ+fPn1/ofL4mISGBp0+fpqurK+vXry/pPN20aZOkfTQoKIjDhg2jsrIy+/fvz8DAQJn+HMuWLaOz\ns3O+7BEEgWfOnGH37t2pqqrK8ePHF7opSFaGDBnCjRs3ksx4+zp27BidnZ1ZrVo16unp0cnJiQcP\nHpRaM71//z4HDx5MFRUVjh8/vlCBkw8dOsSuXbsW+Pz88OrVKzZt2pR9+/bNIoZfk5yczEWLFlFN\nTY1Lliwp1uGqb9684Zw5c6ilpcUOHTrQ19dXanD3yMhIOjo60sTEhIGBgZL9Hz58oLm5OSdPnvzD\nCDtEUZcNa2trnjp1iklJSaxQoYLUm/fMmTPU0NDIUhMVBIEqKiqsVq0a1dXV6enpKVdnWy9evKCq\nqqpcmjSk8fr1a8nIDA0NDUln2bFjxxgWFsalS5fK7EwsMDCQ5ubmMl03OjqaK1asoImJiVw6PmVF\nEARGRkby/v377NixIwGwffv2VFRUZNu2benh4cG7d+9KFQJBEOjn58dOnTpRW1ubbm5ueTYXyIK7\nuztdXV0LnU9eBAYGUk9Pj4sWLZL6HS9dukRTU1Pa29sX6b2XF0lJSfTy8mLDhg1pYmLCNWvWSL1H\n/vnnH2ppaXHGjBmSYZORkZFs1KgRJ06c+EMIO0RRl40//viD7u7uvH//Pk1MTHJMs3XrVmpqavLC\nhQuSfa9fv+agQYMkQxm3bdtWJB79Fi5cyO7du8s935xIT0/nrVu3uHjxYrZr104idG5ublywYAHt\n7Oyorq7OyZMn51grTU5OZqVKlXIdUXPnzh0OHz5c0vF58eJFufzhUlNT+erVK968eZPHjh3jpk2b\nOH/+fI4ePZrdu3dns2bNaGBgwPLly1NJSYm1a9eWeMOcNWtWnnMTUlNTuW/fPjZu3Ji1atXipk2b\nCt009jXDhg3jhg0b5JZfTnh5eVFDQ0NqX01UVBRHjBhBXV1d/vPPP6VGCAVB4IULF9izZ0+qqqry\njz/+yPH+i4iI4K+//kozMzPJ+P+oqCg2bdqU48aNKzXfp6BAFHXZ2LlzJ/v06ZPj668gCJw5cyaN\njY0ZEhJCMmPIYeaYbxcXF1pYWBAAjY2NqaioyKZNm3LatGk8c+aMXGrtiYmJNDY25smTJwudV375\n/Pkzjx8/zvHjx7N27dpUV1enhYUF1dTUCICdO3fmiRMnsrwat2rVimfOnMmST2Z7fcuWLVm1alUu\nXLhQ5o7P+Ph4Pn36lBcvXuSBAwe4atUqTp8+nYMHD6adnR0bNGhATU1Nli1bllpaWjQ3N2enTp04\ndOhQzpgxg6tXr6a3tzcvX77M//77L1tzw6FDh6itrS212S0uLo4rV66kkZERLS0t6ePjI7UpoDC0\natUq3x3qspKamso//viDNWrU4IMHD7IdFwSBe/fupY6ODp2dneXaESpvnj9/zkmTJlFNTY3du3en\nv79/FrEWBIFeXl5UV1enm5sbU1NT+enTJzZv3pyjR48ukt+uuIAo6rJx79491qpVi4sXL+akSZMk\n+5OSkujo6MjmzZvz/fv3DAsL46hRo6iiosJJkyYxIiJCknbDhg2SEQT+/v6cPXs2W7ZsSUVFRbZr\n145ubm4MDAwscDv78ePHWbNmzXzNxisKwsLCuHnzZjo4OPCXX37JMoPWzc2NUVFRnDp1qmRIWVhY\nmGRG4Ncja75uAjlz5gx37txJDw8PTpw4kX379mWbNm1oYmLCKlWqsEKFCjQyMmLz5s3Zo0cPOjs7\nc+HChdyyZQuPHz/OW7du8c2bN4Xqw9i8eTMNDQ2zzLiNiIjgzJkzqa6uzp49e/LKlSuFLr/c0NbW\n5suXL+Web1RUFDt06EBbW9scm4mePXtGOzs71q9fv8i/ozz5/Pkz161bx1q1arFBgwbctm1bljen\n8PBw2tra0sLCgo8ePWJMTAxbtmzJ4cOHf7fCDlHUZSMlJYUVK1akg4MDN23aRJL8+PEjW7Vqxd69\ne/Phw4ccMWIEVVVVOXXqVKkjQnx8fKiurs4TJ05I9sXGxvL48eN0cXFh/fr1qaSkxK5du3LFihW8\nd+9evl4Hu3btysWLFxfuy8qRtLQ0Xrt2jQsWLODPP/+cYyCKzEVTU5O1atWisrJylv3ly5enkZER\nW7Zsyd69e3P8+PF0d3fnzp07efbsWT58+JBv377lu3fv+P79e3748IGRkZGMiopidHQ0Y2JiGBsb\ny8+fPzMuLo4JCQlMTExkUlISU1JSmJqayrS0NKanp+dZ1u7u7qxbty6vXLkiaR4aNWoUHz9+XORl\nGRsbSwUFBbmLzcOHD1mjRg26uLhke+ilpKTQ3d2dampqdHd3LzG/PYUlPT2dJ0+epJ2dHTU1NTl7\n9mzJTO309HSuXbuWampqXL58OWNiYtiqVSsOGTKkWIeOyguIQTJkp0mTJrh9+zbOnz8PXV1ddO7c\nGfXr10flypVx9OhRjB49Gi4uLnl6mrty5Qp69uwJd3d3DB48ONvx9+/fw8/PD+fOncO5c+eQkJAA\na2tr2NjYwMbGBkZGRlLzfvbsGSwsLHD79u1CeRYsCIIgIDIyEm/evJG6PHr0CPHx8XnmVa5cOWhq\naqJChQogKVkEQchxPa9tWY9lUqZMGYnHwswlczvTxayDgwPWrFmTp5dMeREUFIQhQ4YgODhYbnke\nP34cQ4cOhaenZ7Z7MTAwECNHjoSuri7WrVuXa2Dz74mQkBCsWrUKe/fuRefOnTFhwgQ0bdoUT58+\nxeDBg1G2bFmsWbMG48aNg4GBAbZt2yb3eLJFiRjOLh8MGzaMAHjo0CFJLVJNTY1z5szJ98iGR48e\n0cjIiH/++WeetcNnz55x8+bN7Nu3LzU1NVm9enUOHz6c+/btyzH815w5c/jbb7/ly57cEASB0dHR\nfPDgAc+cOcMdO3Zw8eLFHDduHHv16sUWLVpIOhdVVVVZr149dujQgYMHD+aMGTO4Zs0aHj58mNeu\nXePLly+ZkJDA2rVr09vbm1u3bqWJiQktLCx4+PDhEn/lFQSB6enpTEtLY2pqKpOTk5mUlMTExEQm\nJCQwLi6OTZs2Zbt27aiurs6NGzcWW8favn372KtXL7nkJQgCFy9eTF1d3WzNKdHR0Rw9ejR1dHS4\nb9++777jUBpRUVFcsmQJDQ0N2aJFC+7fv59JSUn09PSkuro6V6xYQWtra/7+++9FOg9C3kCsqcvO\nggULMHfuXMn2/PnzMX78+GyBiWXlzZs3sLe3h6WlJVatWiVTbYAk7t+/L6nFBwQEwMjISFKLb926\nNX7++WeYmppiy5YtWaIi5UR8fLykFv369WupNexy5cpBV1c310VHR0emIMurV6/GsWPHcPr0aZQp\nUwbp6enw8fHB4sWLER8fj6lTp+L3339H+fLlZS7L4iI0NBStW7fGy5cv8ezZMzg6OqJ69erYvHlz\nkYfpc3NzQ3x8fKF90ickJMDJyQlPnjyBj4+PJHA6SXh7e8PFxQVdu3aFu7t7ge/t74m0tDQcPXoU\nK1aswPPnzzFmzBi0bNkSEydORJUqVfDx40eYmpri77//lkuw7aKmoDX1/0lRv3DhAtq2bSvZNjAw\nwC+//CJZKlSokGVbliU5ORnOzs4oX768JOhB5mt+Tp/f7ktPT0dQUBD8/Pxw/vx5REVFQUlJCfHx\n8UhLS8OpU6cQGxsrVaxTU1OzCLOenl6OYq2oqCiXMoyMjESdOnVw/vx5mJqaZjlGEn5+fnB3d0dI\nSAhcXV3h5OQkt2vLA1dXV5QvX14irMnJyZg2bRoOHjyIXbt2oU2bNkV27YEDB6Jdu3aFirv58uVL\ndO/eHXXq1MHmzZslsXdfvHiBMWPGICwsDJs2bULLli3lZfZ3xe3bt7Fy5UocOXIE3bt3R1xcHP79\n91/Exsaid+/e2LNnT5HEm5UnoqjnkylTpmDJkiUAMv7gAwYMAAAkJSVlW5KTk3Pc/+0SExODEydO\nwMzMDFpaWhAEQdLOm9Nnbscy27Rzol27dujVqxdq1aolEWwlJaVChWrLL+PHj0d6ejrWrl2ba7qb\nN2/Cw8MDFy5cgLOzM8aNGwc1NbVisjJnkpKSoK+vj2vXrmVrXz558iSGDRuGYcOGYc6cOUXyx2/R\nogWWLFkCKyurAp1/5coV9O7dGxMnTsSkSZNQpkwZpKamYuXKlXB3d8ekSZPwxx9/lMo3pOLm3bt3\n2LhxI9avX4/k5GRER0cDAKysrHDu3LlSXUZim3oBePbsGcuUKUMAVFBQ4Nq1aws1jDAoKIjVq1cv\ncNulIAi8cuUKR44cSVVVVbZv355///034+PjGRMTw1OnTnHGjBls1aoVK1WqxCZNmvCPP/7g4cOH\nZXJUJS8ePHhAdXX1fF0zNDSUw4YNo4qKCidMmJCjf/HiYteuXezYsaPU4xEREezYsSObN29eKFcA\n0lBTU8syRDY/bNmyhRoaGlnc0V69epUNGjRghw4dcvTSKZIxZHnnzp00NTXNMiKrpIcN5wbEIY0F\nIzk5mS4uLgRAVVVV6uvrc/369QUKCTdt2jROnTo13+eFh4fzzz//pImJCU1MTLho0aI8RS8xMZEB\nAQF0c3Njx44dWaVKFdatW5ejRo3i7t27i2QMdCZ2dnYFDpDx6tUrurq6UkVFhYMHDy5QwIvCYmlp\nmWfYtvT0dP7111/ZXEUUlsjISFapUiXfD/7U1FSOGzeOJiYmEl85MTExHDNmDLW1tbl79+4ftiNU\nnqSlpXHfvn1ZhL2owz8WFIiiXjh8fHyoqalJBwcHduzYkQYGBty4caPMP7ggCDQ2NpY5CEBcXBx3\n7dpFW1tbqqqqctSoUTI70sqJ1NRU3rx5k3/99Rd79OhBdXV1GhkZceDAgdy8eTNDQ0Pl8qf39fVl\nrVq1Cj3OOTIykgsXLqSmpia7d+9e5B4BM7l37x51dXVlHgURFBTEWrVqceDAgXIJMHL16lU2btw4\nX+d8/PiRNjY2tLOzY3R0NAVBoLe3N/X09Dh8+HC5+KL5kYiKiuLNmzd54MABenh4cNSoUbS1tZU6\nr8LJyalUPhBRAqLuAOABgHQAjXJJV9JlIzPPnz9ns2bN2KVLFx4/fpwdO3akoaEhN23alKeIydL0\nkunTYujQoVRWVmanTp24f/9+ufoU+fpaDx8+5IYNG9ivXz/q6+tTS0uLvXv35sqVK3n79u18JhrE\nOwAAIABJREFUT8hISUlhrVq1ePz4cbnZGR8fz9WrV9PQ0JBt27blqVOnivQPNnbsWM6ZMydf58TF\nxdHJyYnGxsaFjsu6a9cu9u3bV+b09+/fp7GxMSdNmsS0tDSGhYWxa9eurFu3Li9evFgoW75XEhMT\nGRISwhMnTnDt2rWcNGkSe/bsyYYNG1JJSYmVK1emmZkZTU1NWbFixSwCPmzYMB4+fJgvXrygjo4O\nz5w5QzMzMy5btqykv1Y2UAKiXhuACYDz+EFEncxojnF1daWBgQEvX77My5cvs3379jQyMuKWLVuk\nivv06dOlNr08e/aM8+bNY/Xq1WlqakpPT88c45UWNS9evODOnTs5fPhw1qpVi0pKSrS3t6e7uzsv\nX76c51tJZvSfohDdzOhBpqambNiwIffv3y/3WYBxcXFUVVUtcHv+gQMHqKmpSXd39wKPw589e7bM\nDxUfHx9qaGhw586dTE1N5bJly6impkY3N7dS22QgD9LT0/ny5UsGBATQy8uLc+fO5cCBA2llZUU9\nPT2WL1+exsbGbN++PUeMGEF3d3fu37+fR44c4fLlyzlo0CBWrVqVVatW5aBBg7hz585sQdhdXFw4\nbNgwkhnuLXR1dQscpKaoQAk2v/xQop7J0aNHqampSU9PT6anp/PSpUu0tbVltWrVuHXr1izinlPT\nS2xsLLdt28Y2bdpQXV2dY8eO5Y0bN0rVa15ERAS9vb05YcIENmzYkJUqVWLbtm05Z84cnjlzhnFx\ncZK0Hz9+pIaGRo4OouRJeno6jx49yhYtWtDY2JgbN26U25vMli1bCu3DPCwsjK1ataK1tTVfv36d\n7/P79u3LXbt25ZpGEAQuXLiQVatW5bVr13jjxg02bNiQNjY2ucay/Z6Ijo7mrVu36O3tTU9PT44e\nPZp2dnY0MTFhhQoVqK2tzRYtWrBfv36cNWsWt23bxvPnz/PFixeSh310dDR9fHw4duxY1qlThyoq\nKuzZsyfXrl3LkJAQqf+1u3fvUkNDI8uEv8DAQKqrqzM4OLhYvr8sQBR1+RMWFsbmzZvT3t5eMtIj\nICCANjY2rF69Ordv387U1FQGBQWxWrVqTEtL47lz5zhgwAAqKSnx119/5cGDB0tVD7sgCExOTmZc\nXBw/ffrEDx8+8M2bNwwLC+OtW7e4fPly2tvb59j22LFjx2LzGSIIAgMCAmhvb08dHR16eHjk6S43\nL5o2bSo1WHh+SEtL44IFC6ilpcUjR47k69zGjRvn2n8QFxdHBwcHNmvWjKGhoRw/fjy1tbW5a9eu\nUlUhyIukpCSGhoby5MmTXLduHSdPnsxevXqxUaNGVFZWpqKiIs3MzNitWzdOnDiRq1at4rFjx/jg\nwQOpgTwSExN59uxZTp8+nRYWFlRUVGT79u3p7u7OGzduyPRmJwgCW7VqxfXr12c7tnfvXhoaGhZ4\nZJK8QRHNKD0DQDuH/TMAHPuyfh6AK4AgKXnw69mbbdu2zTLxp7STmpqKmTNnYt++fdi7dy8sLS0B\nAAEBAZg3bx7Cw8Px33//ZTmnS5cu6N27N1RUVJCamorU1FSkpaVJ1r9e5LU/MTERUVFRiIqKQkpK\nSpGVR4UKFVC1alXUqFEDNWvWRI0aNSTrRkZGRTLuNzg4GJ6enjh9+jRGjBiBCRMmQEtLK1953Lp1\nC7169cJ///0nN/8fV65cQb9+/WBvb4+lS5dKJgBJgySUlJTw4sWLHGethoWFoXv37mjQoAE6deqE\nyZMno0OHDvDw8Cjxsf3fIggC3r59i+fPn+PZs2d4/vx5lvX379+jatWqqF69OqpVqyb5zFxXU1PL\nc15F5oS8s2fP4ty5c7h27Rrq1asnmXXdokULmWY+f83ff/+N5cuX4/r16zneB/PmzcPp06fh5+eX\n5+8pb/z9/eHv7y/Znj9/PlBCk4/yFHWWwslH+cXX1xfDhg2Di4sLpkyZgp9++glRUVGwtraWOGZS\nUFBA48aNUa5cuWxL2bJls+1LT09HYmKiZPJS5npiYmKO+5OSkmQSbAUFBaiqqkJNTQ0qKiqSdVVV\nVaioqKBKlSqoXLkyKleunOO6goICfvrppyx5+vn5YejQoQgODsa7d+/w5MkTPH36VPL59OlTvHr1\nCnp6elmEPnO9evXqhRb8Z8+eYenSpdi7dy8cHR0xefJkVKtWTaZzR4wYAUNDQ8ycObNQNnzLp0+f\nMHr0aNy/fx979+5FvXr1pKZ99+4dTE1N8fHjx2zHLl68iN9++w2Ojo7477//8PjxY2zcuBGtW7eW\nq735ISYmJkfBfvbsGcLCwqCkpJRFsL8W7qpVq+Z7Kj5JhIaGSkTc398fenp6EhFv06YNlJSUCvV9\n6tSpg8OHD6NZs2ZSbfj9999RpkwZ7N69u1gn9H1LSc4oPQ9gEoBbUo7/EKIOZEzN7tu3LypVqgQl\nJSV4e3ujdu3amDx5MipUqIDY2Fh8/vwZnz9/zrL+7Xbm+s8//5yruH67ntuxX375pchvQAcHB9Sv\nXx9z5szJ8XhKSgrCwsKyCH3menh4OHR1dbPV7jMFv0KFCjLb8e7dO6xcuRKbNm1Cx44dMXXqVJiZ\nmUlNHxsbC0NDQzx8+BA6Ojr5/t55QRI7duzA5MmTMW/ePDg7O+f4W1y6dAlTpkzBlStXsuzftGkT\nZsyYAQsLC9y4cQPjx4/HlClT8lUmBSHz95Im3CkpKdkEO/PTyMgIlSpVKrQNr169kvg/OnfuHMqW\nLSsRcWtra7n+Xi4uLoiPj8fmzZtzTZeYmIh27drB3t5e6r1eHJSEqPcAsAqAOoAYALcBdMoh3Q8j\n6kBGc8zcuXOzOWOytbWFsbGxzIJcuXLlUj1FOSfCwsLQuHFj3Lp1C4aGhvk6NzU1FWFhYVmE/mvB\n19bWzrFJp3r16lJfsWNiYrBx40asWLECDRs2xLRp02BlZZVNUNevXw8/Pz8cOHCgwN9dFp48eQJH\nR0fo6upi27Zt2Vw3b9u2DRcuXMCOHTsAZJSJi4sL1q1bhypVqqBx48bYsGEDTExM5GKPIAiIiIjI\nUbCfP3+Od+/eQU9PT2oTibq6utwrCtHR0Th//rxExD9+/Ih27drBxsZG8h8qisrJ3bt3YWtri4cP\nH+bpUhsAIiIi0KxZM3h6eqJPnz5yt0cWRN8vxcydO3fQoUMHfPjwAQBQpUoV6OrqonXr1pKluP2g\nFwcLFizAvXv35CqQaWlp2QQ/cz0sLAyampoSsf9a9I2NjVGxYkUkJSVh586d8PT0hJaWFqZNm4bO\nnTvjp59+AkmYm5tj2bJlsLW1lZvN0khJScGsWbOwZ88eeHl5Zbnm9OnTUalSJcyaNQsfP35Ep06d\ncPPmTVSsWBEbNmzAgAED8i1osbGxuTaRVK5cWWoTib6+fpF7K0xMTMSlS5ckIh4aGoqWLVtKRLxB\ngwbZmvrkDUm0bt0a/fv3x8iRI2U+Lzg4GLa2tvD19YWFhUURWpgzoqiXEBcuXMDkyZORkpKCAQMG\noFy5cggICEBAQAAqVaqUReRr1KhRom108iAxMRF169bF1q1bYW1tXeTXS0tLQ3h4eLbmnCdPnuDF\nixfQ0NCQiH21atUQHBwMb29vGBoaYv78+TA0NMTQoUMRGhpa5OLxNWfPnsWgQYPQv39/LFy4EOXL\nl0fv3r3x22+/oXbt2mjQoAGADI+Ny5Ytk1p7TElJQXh4uFThTkpKyrWJpLg9Y6alpeHmzZsSEb9x\n4wbMzMwkIt6sWbMib1b6ll27dmHlypW4du1avjvJjx07hlGjRiEwMBAGBgZFZGHOiKJegvCL/+rp\n06ejZs2a8PDwQP369REaGioR+AsXLiAtLS2LyJuamhar0MiLQ4cOYc6cObhz506J+qVOT0/Hy5cv\nszXnPHnyBCEhIVnSDhgwAAoKClBQUEClSpWyfMqyXr58+Xw/kD98+IChQ4ciIiICe/bsQa9evdCk\nSRNs374dAHD+/Hm0adNG0kSSk3BHRERAV1dXahOJhoZGiVYUSOLRo0eSzs2AgADo6+tLRLx169ao\nXLlyidn36dMn1KlTB0eOHClwbXvZsmXYtWsXLl26VKwPSVHUSwEpKSnYuHEj3NzcYG9vjwULFkia\nYEjixYsXEpEPCAhAVFQUrKysJCLfsGHD78J5P0m0b98e3bp1w7hx40ranCwkJiZi//79mDt3LsLD\nwyX7lZWVMXfuXKSnpyM+Ph4JCQlISEjIcT2nfYIgyPwA+HqfgoICtm/fjqCgrIPDbG1t8fr1a7x4\n8QKKioq5NpGUNr/f4eHhkpq4n58fKlSoIBHxdu3a5Xu4aVEyYcIEJCYmYtOmTQXOgySGDx+ODx8+\n4NChQ8UWEk8U9VJETEwMPD09sWHDBgwfPhzTpk3LMfLMmzdvcPHiRYnIh4WFoUWLFhKRb9q0ab7H\n4RYXDx8+RJs2bfDw4UNoaGiUtDl49uwZ1q9fDy8vL/zyyy949eoVpk2bhj///BOfPn3C0KFD8erV\nK+zfvx/Gxsb5zj81NVUi9Hk9ADLX4+LicPLkSTx69ChLXkuXLpWM+qlWrVqpCh6SE5GRkVk6N6Oj\noyUjVGxsbEptzNPg4GC0b99e5s7R3EhJSUHHjh3RtGlTeHp6ysnC3BH9qZdCXr58yaFDh1JDQ4PL\nly/Pc2bpx48f6ePjwz/++INNmjRhpUqV2Lp1a86aNYv//vsvP3/+XEyWy4aLiwuHDx9eYtdPS0vj\n8ePHaW9vTzU1Nbq6ukp1lysIAletWkV1dXXu3bu3SO0KCQnhjBkzaGBgwAYNGnDZsmV88+YNo6Ki\naGtry06dOhV6dmxREh8fz1OnTnHy5Mls1KgRK1euTHt7ey5btox37twp8fizsiAIAi0tLblhwwa5\n5RkZGckaNWpwy5YtcsszNyC63i293Lt3j507d2a1atW4d+9emf8UXwfGsLKyooKCAi0sLDhp0iQe\nPXqUUVFRRWx57kRHR1NbW1tmd8Py4sOHD/Tw8GC1atXYuHFjbtu2jfHx8XR3d6eenh6vXbsm9dxb\nt26xRo0aHD58uNTp6AXh48ePXLNmDS0sLKitrU1XV1feuXMnW7qUlBSOHj2apqamRRKAoyCkpKTw\n8uXLXLBgAdu0acNKlSqxVatWnDdvHi9evPhdOg/bsWMHmzRpInencCEhIdTU1KS/v79c880JiKJe\n+vHz82Pjxo3ZpEkT+vn55fv8hIQE+vv7c8GCBbS1tZX4zxg7diz/+ecfvn37tgiszp2tW7eyRYsW\nxeKX5Nq1axw4cCCVlJQ4aNAgiXgnJiayf//+bNy4sUzBQWJiYujo6EhTU9NCOShLTk7moUOH2L17\ndyopKdHR0ZEnT57M01d75luDtrZ2ibjPFQSBd+/e5fLly9mlSxcqKSnR3Nycrq6uPHHiRKl7I8wv\nmZWNwrpJlsbZs2eppaVV5M7VIIr690F6ejr37t3LatWq0d7envfu3StwXikpKbx69So9PT3ZpUsX\nKisr08TEhMOHD+euXbsYFhYmR8tzJj09nU2aNOHOnTuLJP+EhARu27aNTZo0oZGRET08PLKE0Xv7\n9i2bNWvG3377LV81b0EQuGXLFqqrq3Pbtm0yP5QEQeC1a9c4ZswYqqurs02bNty6dWuBmlNOnjxJ\nDQ0N7tixI9/n5pfnz59zy5YtdHR0pJaWFo2NjTlixAju378/i7fCH4Fx48ZxxIgRRXqNDRs2EAA/\nffpUZNeAKOrfF0lJSVy+fDk1NDQ4dOjQbP6eC0JaWhrv3LnDVatWsXfv3tTU1KShoSEHDBgg1+hH\n3xIYGEhdXV25RAbK5OnTp3R1daW6ujrt7e15/PjxbK/SQUFB1NfX54IFCwr8ve7fv8+6deuyX79+\nudofFhbGP//8k7Vq1WLNmjW5cOFCPn/+vEDX/JoHDx6wevXqnDZtmlzbqj98+MD9+/dzxIgRNDY2\npqamJh0dHbllyxa52F1auX37NjU1Nfnx40e55x0fH8+jR4+yc+fOxRLjFKKof59ER0dz6tSpVFVV\n5YwZM+T65BcEgSEhIdy0aRP79+8viX7k4ODA1atXMzg4WG5CMmjQIE6ZMqVQeaSlpfHYsWO0s7Oj\nuro6J0+eLDWQsre3N9XV1XngwIFCXZPM+LM6OTmxZs2avH37tmR/bGwst2/fznbt2lFNTY2jR48u\nVMhBabx//55WVlbs0aNHFh/2+eHz5888ceIEXV1daW5uTiUlJXbp0oXLly/n3bt3vyu3vQUlPT2d\nLVu25MaNG+WW57Nnz7h69Wra2dllcUPdvXv3Iu/Tgijq3zfh4eEcPHgwNTU1uWrVqiLrnMqMfuTk\n5EQTExOqqKiwa9euXLJkCa9du1Zgf+lv376luro6Q0ND833uhw8f6O7uTiMjIzZp0oTbt29nQkJC\njmkFQeD8+fOpr6/PoKCgAtkqjT179rBMmTI0MDCgrq4uAdDS0pL79u0rcp/4SUlJHDRoEM3NzWXq\nF0hJSeHFixc5b948tmrVipUqVWKbNm24YMECXr58udj83pcmvLy82LRp00J1jqakpNDPz4+urq6s\nXbs2NTU12atXL5qamrJs2bIcM2ZMsfVdoYj8qcuDL/aJyMLdu3cxdepUPHnyBIsWLYKDg0ORzhh8\n+/ZtlrHyL168QPPmzSVj5S0sLGQeK79s2TKcO3cOvr6+edpMEtevX8fatWtx9OhRdO/eHWPGjEHT\npk2lnpOQkIAhQ4YgLCwMPj4+0NbOydW/bAiCgKdPnyI4OBh37tyRfL5+/TrH9D///DN0dHSgrKyc\n70VJSUmmSWUk4enpiVWrVsHHxydLWQiCgHv37knGil+6dAk1atSQjBW3srKSi9fE75XMmaNHjx7N\n9R7KiXfv3uHkyZPw9fXF2bNnUbNmTdjb28PGxgZXr17F0qVL0bFjR8yfP19mV8/yQJx89INx9uxZ\nTJkyBeXKlYOnpyfatGlTLNeNiorCpUuXJCL/8OFDNGrUSCLyLVq0kDrtOyUlBWZmZli6dCm6dOmS\nY5qEhATs27cPa9euRXR0NEaPHo2hQ4fmGQTi9evX6NatG+rUqYPNmzfna1JWfHw87t27l0W879+/\nD3V1dTRo0ADm5uaSz7///huvX7/G8uXLceXKFfj5+UkCNNSoUQONGjVCo0aNULNmTcTHxyM6Ohqf\nPn3KdYmJiYGCgkIWoVdRUZH6EPD398fq1asxduxY6Onp4caNG7h48SKUlZUlIt6uXbtSFzijJBk3\nbhxSU1OxYcOGPNMKgoBbt27B19cXvr6+ePr0KWxtbdG5c2d06tQJqqqq8PLywoIFC9CkSRO4ubnB\n1NS0GL5FVkRR/wERBAH79u3DjBkzYGZmBnd3d9StW7dYbfj8+TMCAwMlIh8UFIS6detKRN7KyipL\nFJ/Tp09jzJgxePDgQRbHTU+fPsX69euxY8cONG/eHM7OzrCzs5PJ983169fRs2dPjBs3DlOmTJH6\nFkASr1+/zlL7Dg4OxsuXL1GnTp0s4m1mZpZtlq8gCDA2Noa3tzcaN26c5VhsbCwuXrwIPz8/+Pn5\n4b///oOVlRWsra1hbW0Nc3Nzqd9FEATExcXlKf5fL+fPn8+Wj7a2NpSUlCRLlSpVsmxL25e5vzh8\n7pcEt2/fhp2dHR4+fCj1QRcTE4MzZ87A19cXJ0+ehKqqKjp37ozOnTvD0tIS5cqVgyAI+OeffzBn\nzhzo6+tj0aJFUoNpFAeiqP/AJCUlYd26dXB3d0e3bt0wf/586Orqlpgt169fl4j81atXYWRkJBH5\nVq1aYfTo0WjWrBmmTJmCEydOYO3atbh16xaGDBmCUaNG5Wta+Z49e+Di4oItW7bg119/lexPSUlB\nSEhIltp3cHAwfvrppyzi3aBBA9SqVUsm/ylnzpzBlClTEBQUlKf4ffz4ERcuXJCI/Pv379G2bVuJ\nyNeuXbvQArpv3z4sXrwYN2/eREpKCmJiYhATE4PY2FjJ+tdLTvu/3icIgswPAGn7FBUVS9WDQRAE\nWFlZYciQIRg+fLhkP0mEhIRIauO3bt2CpaWlRMi/bkYhiZMnT2LmzJkoX748Fi1aBBsbm5L4OlkQ\nRf1/gOjoaCxevBhbt26Fs7MzJk+ejCpVqpSoTampqbh9+7ZE5C9duoTY2Fikp6dL0nTs2BEjR46E\njo4OVFRUJEtuQisIAmbPno09e/Zgx44dSE9PzyLeoaGhMDQ0zCbg2traBRadPn36oE2bNnB2ds73\nuW/evMH58+clzTXJyckSgbe2ti5QWyy/OE7r0qULXFxc8n3+tyQnJ8v8AJC2PykpCZUrVy7w20Lm\np7ycYnl5eWH9+vUIDAxEcnIy/P394evrixMnTiAtLU0i4tbW1lBQUMh2/sWLFzFjxgxERUXBzc0N\n3bt3LzUPLVHU/4cIDw/H7Nmzcfr0acyePRsjRowoNZ78BEHA3bt30bBhQ9SrVw+tWrVCdHR0tuXT\np0+oUKFCFpH/WuwzQ4798ssvKFeuHMzMzLKId7169XL8kxaUDx8+oGbNmnjx4kWOztfyy/PnzyW1\neD8/P/zyyy8SgW/Xrp3Mb1qhoaGwtLREcHAw9PT0Cm1XYUlLS0NsbGyB3xZiYmLw+fNnKCgoFPht\nIXOJj4+HqqoqnJycEBERgQsXLsDc3BydO3eGvb096tWrJ1Wgb9++jZkzZ+LRo0eYP38++vXrV2ze\nF2VFFPX/Qe7cuYOpU6fi+fPnWLRoEXr16lUqahnXrl3DsGHDcP/+falpSCIuLi6b2N+/fz9LXMjt\n27dj4MCBRe53/q+//kJwcLAk1Jw8yWwKyBR4f39/aGpqSkS+bdu2uXZ6zp49G48fP8b+/fvlbltJ\nkNnHEBERgZcvX2ZZXr16JVmPiYmRKb/+/fujc+fO6NixI1RUVHJN+/jxY8yZMwcBAQGYMWMGhg8f\nXuxBO2RFFPX/Yf79919MmTIFFStWxJIlS2BlZVWi9sydOxeJiYn5dlEaFBSEbt26YezYsZgyZQqO\nHDkCZ2dnODg4YNGiRUU2ZI8k6tati02bNqFVq1ZFco2vSU9Px927dyUif+nSJVSvXl0i8q1atcrS\nrJaYmAhTU1Ns2LABHTp0KHL7ciNTkDNr64VZypcvjypVquR7effuHQYMGAAbGxv4+PjIJMovX77E\nggUL4OPjgz/++APjx48v9UNARVH/H0cQBOzevRuzZs1Cw4YN4e7ujtq1a5eILU2bNsWSJUvQtm1b\nmc85cuQIhg8fjg0bNqBnz56S/VFRUZgwYQKuXLmCrVu35itPWbl8+TKGDRuGR48elcibTmpqKm7e\nvCkR+WvXrqF+/foSkW/ZsiX8/Pzg4uKCe/fuFcjHfmpqKj5//lxoIY6Pj0elSpUKJMZfL5UrVy5Q\nk+G///6L/v37Y8GCBRg1alSe6T98+IDFixdjx44dGDlyJCZPnpxnbb60IIq6CICM0SmrV6+Gp6cn\nevXqhXnz5hVqkk5+effuHWrXro3379/L9Kclib/++gvLly+Hj48PmjRpkmO648ePY9SoUejWrRs8\nPDzkGlhiyJAhMDU1xaRJk+SWZ2FISkpCYGCgROSDg4PRtGlT+Pv7Q11dHZs3b863QKelpckstrkd\nV1RULJEQjCSxfPlyLFmyBPv370fr1q1zTR8bG4u//voLq1evhqOjI2bNmlWs/wN5IIq6SBaioqKw\naNEibN++HePGjYOrq2uxxIr08vKCr68vDhw4kGfa1NRUjBkzBtevX8exY8ckof+kER0djT/++AP+\n/v7YsmWLXIadxcTEwMjICKGhodDU1Cx0fvKCJJ4/f47Lly/j1KlT2LNnT7Y0AwcOhK6urkxi/T2P\nUU9KSsLIkSMRHByMI0eOwNDQUGraxMRErFu3Dp6eniUyC1SeiJGPRHLk+fPn7NevH7W1tblu3boi\n9wni4ODAbdu25ZkuKiqKNjY27NKlS769O544cYL6+vocMWJEoSMIrV+/nr179y5UHvIgJSWF169f\n5/Lly9m7d2/q6OhQR0eHDg4OXLFiBW/evMnU1FSmp6fz33//Zbdu3aiqqsrx48czJCSkpM0vMl6/\nfk0LCws6ODjk6uwsJSWFGzduZNWqVdm9e3fev3+/GK0sGiA69BLJjVu3btHa2pomJiY8dOhQkXjt\nS0lJobKycp4Oj54+fcratWvTxcWlwM6XPn36RCcnJxoYGPDUqVMFyoMkGzVqxNOnTxf4/ILy6dMn\nnjp1irNnz2a7du2oqKjIevXqcdSoUdy1axefPXuW52/04sULTp8+nZqamrSxseGhQ4fyDNDxPREY\nGEg9PT26ublJLYvM+AQ1a9aktbU1r169WsxWFh0QRV0kLwRB4MmTJ1m/fn22bNmSly9flmv+/v7+\nbNy4ca5pLl68SG1tba5fv14u1/z3339paGjIoUOHMjo6Ol/n3rp1i4aGhsUSczMsLIy7d++ms7Mz\nGzRoIPGqOGPGDJ44cSLftn9NUlIS//77b7Zo0YL6+vp0c3NjRESEHK0vfry8vKiurs4jR47keFwQ\nBPr6+tLc3JxNmzbl2bNni9nCogeiqIvISlpaGr28vFi1alX27NmzQO5yc2LKlCmcM2eO1OO7du2i\nhoaG3GvGsbGxHDVqFKtWrcrjx4/LfN7o0aO5YMECudpCZpRvUFAQV69ezT59+rBq1arU1NRkjx49\nuGzZMl69erXIXCsHBQXRycmJysrKdHR05KVLl74rX+qpqal0cXFhjRo1pIYaDAgIoJWVFevWrVtk\nb52lAYiiLpJfEhIS6O7uLgkAUdjaXb169XJ8/RUEgbNnz2a1atWKtK3z3LlzrFatGgcOHJhnAIP4\n+HiqqKjI5Ls8Lz5//swzZ85w3rx5bN++PatUqcI6derQycmJ27dv55MnT4pdeKKiovjXX3+xRo0a\nbNCgATdu3FjgABzFRWRkJNu3b8/27dszMjIy2/GgoCB26tSJRkZG3LFjh9yDSpc2IIprYL5uAAAM\nAElEQVS6SEH58OEDXVxcqKqqyvnz5xco8HBYWBg1NDSy/dESEhLYp08ftmjRgu/evZOXyVL5/Pkz\nx44dS11dXamv7mTG633nzp0LdI1Xr15x//79HDduHBs1asRKlSrR0tKSU6dO5dGjR4sklFpBSU9P\n5+nTp/nrr79SVVWVEyZMKJUdq/fv36exsTEnTpyYrV8gNDSUv/32G7W1tbl69eoiD1hSWkAJiPoS\nAI8ABAM4BEBJSrqSLhsRGfnvv//o6OhIHR0dbty4MV+dbuvXr+eAAQOy7IuIiGDz5s3p6OjIxMRE\neZubKxcuXKCxsTF///33HEXWysqKhw8fzjOf9PR03r17l+vWrWO/fv1oZGRENTU1/vrrr/Tw8ODl\ny5e/G5H5umPV1taWhw8fLhUdq0eOHKG6ujq9vLyy7A8PD6eTkxPV1dW5aNGiUv+mIW9QAqLeHkDm\nLAT3L0tOlHTZiOSTGzdusG3btqxduzZ9fHxkajro2rUr9+7dK9m+d+8ejYyMOHfu3BJr84yPj6eL\niwt1dHR48OBByf6HDx9SW1s7x+Gd8fHxPH/+PN3c3GhnZ0dlZWXWrFmTQ4YM4ZYtW/jo0aPvvg03\nKSmJu3btKvGOVUEQuHDhQurp6WVptnv//j0nTpxIVVVVTps2rchjgZZWUMLNLz0A/C3lWEmXjUgB\nyBxdYGpqSisrKwYGBkpNm5iYyCpVqkjaQU+dOkUNDQ3+/fffxWVurly6dIkmJibs06cP379/T1dX\nV06bNo1kRmxVb29vTpw4kRYWFlRQUGDz5s3p6urKw4cPF0uTUUly69YtDhs2jMrKyvz99995+fLl\nYnloxcXF0cHBgRYWFnz9+jVJMiYmhnPmzKGqqirHjBnDN2/eFLkdpRmUsKgfA/C7lGMlXTYihSAt\nLY1bt26lnp4ee/fuzcePH2dLc+rUKVpZWZEk165dS21tbV66dKm4Tc2RxMREvn37lrdu3aKlpWWW\niPCZS9u2bblo0SJeuHBBasDrH52vO1bNzc25adOmImvuePHiBRs0aMCBAwcyMTGRCQkJXLp0KTU1\nNTlgwAA+e/asSK77vYEiCjx9BkBODhNmfBFyAJgJoBGAXlLy+GKfyPdMQkICVq5ciWXLlsHR0RGz\nZ8+WTKufMGECNDQ08PHjR5w+fRq+vr75im6UGyTx+fNniQ/2r/2xf7ue0z5BECTxQFVUVBAaGoro\n6GgAGcGktbS0EBUVBZJQU1ODmpoaVFVVc1zP6Vhp8WMvLwRBwJkzZ7Bu3TpcunQJAwcOxOjRo2Fi\nYiKX/AMCAtCnTx9MmTIFY8eOxfbt27Fw4cISjQVaWikp3y+DAQwHYAMgSUoazp07V7LRtm3bIvG0\nJ1I8fPjwAW5ubvj7778xceJETJw4EcbGxihXrhxq166NAwcOZAsykZaWlqvw5rYeExODihUrZhHm\n/KxXrFhRJp8niYmJiIyMRGRkJKKioiTruW1HR0ejYsWKMj0Avt5WUlIqEadY+eXFixfYuHEjtm7d\nCnNzc4wZMwadO3dG2bJlC5Tf+vXrMW/ePOzcuRPR0dGYPXs2DAwMSjwWaGnB398f/v7+ku358+cD\nxSzqdgCWAWgD4GMu6cSa+g/I06dPMXPmTPzzzz/5Ok9BQQHa2trQ1taGlpYWtLS0JOs5CbOSklKp\nrQ2TRGxsrEwPgK/X4+LioKysLNMD4Ot1BQWFEnHKlZSUBG9vb6xduxZv3rzByJEj4eTkJLMDtJSU\nFIwfPx4BAQEYOXIktm/fjvLly2Px4sWlIhZoaaUkaupPAJQHEPVlOxBATsEdRVH/gbl+/bqkllWh\nQgUoKChAQUEBFStWlKyXK1cOKSkpSE5OlrqkpKSgXLlyqFChQqlZypYtWyQimpaWhqioqBwFP7dt\nQRBkfgAUVRNRUFAQ1q5di0OHDqFz585wdnZGixYtpJbT+/fv0bt3b9y7dw8GBgZIS0srdbFASyui\n612R7xqSUoU/rwdCUS3p6ek5in358uVL5CEjCAI+ffokc/NQXk1EuT0c8moiioqKgpeXF9atW4fK\nlStjzJgx+P3337PEjb19+zYaNWoEADAwMMDChQtLZSzQ0ooo6iIickYQhHw/CIr6AVSmTJl8PQgy\n35Li4uIkS3x8vGQ9KUlaV9j/U6FCBejq6koWHR0dybqWlhaCgoKwb98+hIaGYtSoUXB2dsb+/fsx\ne/ZsAMDq1atLdSzQ0ooo6iIi/wOkpaXJ7QGR2wMoPj4eERERePv2rWS0UH757bffsG3btlIfC7S0\nIoq6iIhIsUMSqampkofBp0+fEB4ejhYtWqBixYolbd53jSjqIiIiIj8QBRX10j9YVkREREREZkRR\nFxEREfmBEEVdRERE5AdCFHURERGRHwhR1EVERER+IERRFxEREfmBEEVdRERE5AdCFHURERGRHwhR\n1EVERER+IERRFxEREfmBEEVdRERE5AdCFHURERGRHwhR1EVERER+IERRFxEREfmBEEVdRERE5AdC\nFHURERGRHwhR1EVERER+IERRFxEREfmBEEVdRERE5AdCFHURERGRHwhR1EVERER+IERRFxEREfmB\nEEVdRERE5AdCFHURERGRH4jCiPpCAMEA7gA4B0BfLhaJiIiIiBSYwoi6J4AGAMwB+ACYKxeLShn+\n/v4lbUKh+J7t/55tB0T7S5rv3f6CUhhR//zVuiKAj4W0pVTyvd8Y37P937PtgGh/SfO9219Qyhby\n/D8BDACQAKB54c0RERERESkMedXUzwC4l8PS9cvxmQAMAHgBWF40JoqIiIiIyEoZOeVjAOAEgHo5\nHHsKwFhO1xERERH5X+E/ADXye1Jhml9qAnjyZb0bgNtS0uXbKBERERGR4scbGU0xdwAcBKBZsuaI\niIiIiIiIiIiIiOSKA4AHANIBNMol3QsAd5HRbHO96M2SGVnttwMQgowmqKnFYJcsqCKjc/sxgH8B\nKEtJ9wKlq+xlKctVX44HA2hYTHbJSl72twUQg4zyvg1gVrFZljfbALxDxlu3NEpz2edlf1uU3rIH\nMiZtnkeG5twHMF5KuhL9DWoDMEGGobmJ4nNkiFBpQxb7f0ZGB7ARgHLIaIKqUxzG5YEngClf1qcC\ncJeSrjSVvSxlaY+MjngAaAbganEZJwOy2N8WwNFitUp2WiFDJKSJYmkueyBv+9ui9JY9AGgjYwIn\nkDHfJxSFvP+LwvdLCDJqirIgr9E38kQW+y2Q8Ud+ASAVwD5kdBaXNL8C2PFlfQeA7rmkLS1lL0tZ\nfv29riHjDUSrmOzLC1nvhdJS3t9yEUB0LsdLc9kDedsPlN6yB4AIZFQEACAOwCMAut+kyddvUJIO\nvQjgLICbAIaXoB0FQQ/Ay6+2X33ZV9JoIeNVFF8+pf3wpansZSnLnNJULWK7ZEUW+wmgJTJenU8A\nqFs8psmF0lz2svA9lb0RMt46rn2zP1+/QUGHNJ5BxmvDt8wAcEzGPCwBvAWg8SW/EGQ8dYuDwtpP\n+ZqTL6TZPvObbUK6nSVZ9t8ia1l+W9sqyd/ga2SxIwgZbacJADohw1eSSVEaJWdKa9nLwvdS9orI\nGFE4ARk19m+R+TcoqKi3L+B5X/P2y+cHAIeR8RpbXMJSWPtfI6tXSn1kPD2Lg9xsf4cMwY8AoAPg\nvZR0JVn23yJLWX6bpuqXfaUBWez/2k/SSQDrkNGnEVW0psmF0lz2svA9lH05ZAwL/xsZD51vyddv\nUNTNL9LashQAVP6yXglAB+Te+15SSLP/JjImXxkBKA+gD0pHZ8xRAIO+rA9CzjdIaSt7WcryKICB\nX9abA/iE/29mKmlksV8L/38vWXxZL02ikhuluexlobSXfRkAWwE8BLBCSpoS/w16IKP9JxEZNcaT\nX/brAvD9sl4dGZ0Dd5AxjGd6cRqYB7LYD2S8yoUio5OstNivioy28m+HNJb2ss+pLEd+WTJZ8+V4\nMHIfVVUS5GX/GGSU9R0AV1C6nN/tBfAGQAoy7vuh+L7KPi/7S3PZA4AVAAEZ9mUOu+yE7+s3EBER\nERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERER+R74P92rnCAa\nEz3SAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1053c48d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import matplotlib.tri as tri\n",
    "import numpy as np\n",
    "\n",
    "rand_data = np.random.randn(50, 2)\n",
    "\n",
    "triangulation = tri.Triangulation(rand_data[:,0], rand_data[:,1])\n",
    "\n",
    "plt.triplot(triangulation)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# xkcd-style plots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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H3NxcmEwmGI1GmEwm2O12OJ1OuFwuuFwuj/95+GclEokgkUgglUoRFBSEoKAgyGQyBAcH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\nGGRlZXmto3nz5mjevLnHvokTJ+L/2zvz+KbK7P9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/Zm7cEOYyVqwA8vOFMpUKGDoUmDBB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\nlWHxYBiGYarM/wcq4GdAv9C/AgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10533a7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x = [1, 2, 3]\n",
    "\n",
    "y_1 = [50, 60, 70]\n",
    "y_2 = [20, 30, 40]\n",
    "\n",
    "with plt.xkcd():\n",
    "\n",
    "    plt.plot(x, y_1, marker='x')\n",
    "    plt.plot(x, y_2, marker='^')\n",
    "\n",
    "    plt.xlim([0, len(x)+1])\n",
    "    plt.ylim([0, max(y_1+y_2) + 10])\n",
    "    plt.xlabel('x-axis label')\n",
    "    plt.ylabel('y-axis label')\n",
    "    plt.title('Simple line plot')\n",
    "    plt.legend(['sample 1', 'sample2'], loc='upper left')\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ak8kEi8UCs9kMs9kMSZLgcDhgt9vhcrngcrng8Xjg9XrhdruRl5eHrKwsZGVl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rZ8+sw8V4/Hf4SlS5fS3d3dxIF47NgxAuD9+/dZWVlJZ2dnLlu2TK43GAzs0aMH33//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\nQCCwijAUAoFAILCKMBQCgUAgsMr/AebzbtUZhFadAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10522f8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import random\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "data = np.random.normal(0, 20, 1000) \n",
    "bins = np.arange(-100, 100, 5) # fixed bin size\n",
    "\n",
    "with plt.xkcd():\n",
    "    plt.xlim([min(data)-5, max(data)+5])\n",
    "\n",
    "    plt.hist(data, bins=bins, alpha=0.5)\n",
    "    plt.title('Random Gaussian data (fixed bin size)')\n",
    "    plt.xlabel('variable X (bin size = 5)')\n",
    "    plt.ylabel('count')\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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OHKjyGex2O3LjzlZJiNLS0mrX3/0jmujWMaqq8t133zFhxAh6dOxI0VNP8W5xMWsFgYnE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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106fd3710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "with plt.xkcd():\n",
    "    X = np.random.random_integers(1,5,5) # 5 random integers within 1-5\n",
    "    cols = ['b', 'g', 'r', 'y', 'm']\n",
    "    plt.pie(X, colors=cols)\n",
    "    plt.legend(X)\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
